Modeling the effect of sanitation in a human habitat to control the spread of bacterial diseases

Abstract The improper and poor sanitation, unclean drinking water and lack of hygiene are the key factors that affect the spread of various infectious diseases such as tuberculosis, typhoid fever,and cholera. In this paper, the effect of sanitation effort to control the spread of bacterial diseases...
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Autor*in:	Shukla, J. B. [verfasserIn] Naresh, Ram Verma, Sandhya Rani Agarwal, Manju

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2019

Schlagwörter:	Mathematical model Infectious disease Bacteria population Stability Sanitation effort

Anmerkung:	© Springer Nature Switzerland AG 2019

Übergeordnetes Werk:	Enthalten in: Modeling earth systems and environment - Berlin : Springer, 2015, 6(2019), 1 vom: 28. Sept., Seite 39-49
Übergeordnetes Werk:	volume:6 ; year:2019 ; number:1 ; day:28 ; month:09 ; pages:39-49

Links:	Volltext

DOI / URN:	10.1007/s40808-019-00653-4

Katalog-ID:	SPR037843443

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520			\|a Abstract The improper and poor sanitation, unclean drinking water and lack of hygiene are the key factors that affect the spread of various infectious diseases such as tuberculosis, typhoid fever,and cholera. In this paper, the effect of sanitation effort to control the spread of bacterial diseases is modeled and analyzed. In the modeling process, the total human population in the habitat is divided into two classes of susceptibles and infectives. The disease is assumed to spread directly by contact of susceptibles with infectives and indirectly by bacteria released by infectives in the environment affecting the susceptibles. It is assumed that the bacterial population density is directly proportional to the infective population. To mitigate the bacteria population present in the environment, suitable sanitation effort is applied to keep the environment clean so that the spread of disease could be controlled. The sanitation effort applied is modeled logistically, the intrinsic growth of which is assumed to be directly proportional to the density of bacteria present in the environment. The proposed model is analyzed using the stability theory of differential equations and numerical simulation. The analysis of the model reveals that by increasing the rate of sanitation effort, the bacteria population in the environment declines. This decrease in bacteria population in the environment ultimately decreases the infective population. Thus, the spread of bacterial diseases can be controlled if suitable sanitation effort is applied to curtail the bacterial population in the environment.
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700	1		\|a Agarwal, Manju \|4 aut
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allfields	10.1007/s40808-019-00653-4 doi (DE-627)SPR037843443 (SPR)s40808-019-00653-4-e DE-627 ger DE-627 rakwb eng Shukla, J. B. verfasserin aut Modeling the effect of sanitation in a human habitat to control the spread of bacterial diseases 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2019 Abstract The improper and poor sanitation, unclean drinking water and lack of hygiene are the key factors that affect the spread of various infectious diseases such as tuberculosis, typhoid fever,and cholera. In this paper, the effect of sanitation effort to control the spread of bacterial diseases is modeled and analyzed. In the modeling process, the total human population in the habitat is divided into two classes of susceptibles and infectives. The disease is assumed to spread directly by contact of susceptibles with infectives and indirectly by bacteria released by infectives in the environment affecting the susceptibles. It is assumed that the bacterial population density is directly proportional to the infective population. To mitigate the bacteria population present in the environment, suitable sanitation effort is applied to keep the environment clean so that the spread of disease could be controlled. The sanitation effort applied is modeled logistically, the intrinsic growth of which is assumed to be directly proportional to the density of bacteria present in the environment. The proposed model is analyzed using the stability theory of differential equations and numerical simulation. The analysis of the model reveals that by increasing the rate of sanitation effort, the bacteria population in the environment declines. This decrease in bacteria population in the environment ultimately decreases the infective population. Thus, the spread of bacterial diseases can be controlled if suitable sanitation effort is applied to curtail the bacterial population in the environment. Mathematical model (dpeaa)DE-He213 Infectious disease (dpeaa)DE-He213 Bacteria population (dpeaa)DE-He213 Stability (dpeaa)DE-He213 Sanitation effort (dpeaa)DE-He213 Naresh, Ram aut Verma, Sandhya Rani (orcid)0000-0001-9201-2436 aut Agarwal, Manju aut Enthalten in Modeling earth systems and environment Berlin : Springer, 2015 6(2019), 1 vom: 28. Sept., Seite 39-49 (DE-627)825736587 (DE-600)2821317-8 2363-6211 nnns volume:6 year:2019 number:1 day:28 month:09 pages:39-49 https://dx.doi.org/10.1007/s40808-019-00653-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 6 2019 1 28 09 39-49
spelling	10.1007/s40808-019-00653-4 doi (DE-627)SPR037843443 (SPR)s40808-019-00653-4-e DE-627 ger DE-627 rakwb eng Shukla, J. B. verfasserin aut Modeling the effect of sanitation in a human habitat to control the spread of bacterial diseases 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2019 Abstract The improper and poor sanitation, unclean drinking water and lack of hygiene are the key factors that affect the spread of various infectious diseases such as tuberculosis, typhoid fever,and cholera. In this paper, the effect of sanitation effort to control the spread of bacterial diseases is modeled and analyzed. In the modeling process, the total human population in the habitat is divided into two classes of susceptibles and infectives. The disease is assumed to spread directly by contact of susceptibles with infectives and indirectly by bacteria released by infectives in the environment affecting the susceptibles. It is assumed that the bacterial population density is directly proportional to the infective population. To mitigate the bacteria population present in the environment, suitable sanitation effort is applied to keep the environment clean so that the spread of disease could be controlled. The sanitation effort applied is modeled logistically, the intrinsic growth of which is assumed to be directly proportional to the density of bacteria present in the environment. The proposed model is analyzed using the stability theory of differential equations and numerical simulation. The analysis of the model reveals that by increasing the rate of sanitation effort, the bacteria population in the environment declines. This decrease in bacteria population in the environment ultimately decreases the infective population. Thus, the spread of bacterial diseases can be controlled if suitable sanitation effort is applied to curtail the bacterial population in the environment. Mathematical model (dpeaa)DE-He213 Infectious disease (dpeaa)DE-He213 Bacteria population (dpeaa)DE-He213 Stability (dpeaa)DE-He213 Sanitation effort (dpeaa)DE-He213 Naresh, Ram aut Verma, Sandhya Rani (orcid)0000-0001-9201-2436 aut Agarwal, Manju aut Enthalten in Modeling earth systems and environment Berlin : Springer, 2015 6(2019), 1 vom: 28. Sept., Seite 39-49 (DE-627)825736587 (DE-600)2821317-8 2363-6211 nnns volume:6 year:2019 number:1 day:28 month:09 pages:39-49 https://dx.doi.org/10.1007/s40808-019-00653-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 6 2019 1 28 09 39-49
allfields_unstemmed	10.1007/s40808-019-00653-4 doi (DE-627)SPR037843443 (SPR)s40808-019-00653-4-e DE-627 ger DE-627 rakwb eng Shukla, J. B. verfasserin aut Modeling the effect of sanitation in a human habitat to control the spread of bacterial diseases 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2019 Abstract The improper and poor sanitation, unclean drinking water and lack of hygiene are the key factors that affect the spread of various infectious diseases such as tuberculosis, typhoid fever,and cholera. In this paper, the effect of sanitation effort to control the spread of bacterial diseases is modeled and analyzed. In the modeling process, the total human population in the habitat is divided into two classes of susceptibles and infectives. The disease is assumed to spread directly by contact of susceptibles with infectives and indirectly by bacteria released by infectives in the environment affecting the susceptibles. It is assumed that the bacterial population density is directly proportional to the infective population. To mitigate the bacteria population present in the environment, suitable sanitation effort is applied to keep the environment clean so that the spread of disease could be controlled. The sanitation effort applied is modeled logistically, the intrinsic growth of which is assumed to be directly proportional to the density of bacteria present in the environment. The proposed model is analyzed using the stability theory of differential equations and numerical simulation. The analysis of the model reveals that by increasing the rate of sanitation effort, the bacteria population in the environment declines. This decrease in bacteria population in the environment ultimately decreases the infective population. Thus, the spread of bacterial diseases can be controlled if suitable sanitation effort is applied to curtail the bacterial population in the environment. Mathematical model (dpeaa)DE-He213 Infectious disease (dpeaa)DE-He213 Bacteria population (dpeaa)DE-He213 Stability (dpeaa)DE-He213 Sanitation effort (dpeaa)DE-He213 Naresh, Ram aut Verma, Sandhya Rani (orcid)0000-0001-9201-2436 aut Agarwal, Manju aut Enthalten in Modeling earth systems and environment Berlin : Springer, 2015 6(2019), 1 vom: 28. Sept., Seite 39-49 (DE-627)825736587 (DE-600)2821317-8 2363-6211 nnns volume:6 year:2019 number:1 day:28 month:09 pages:39-49 https://dx.doi.org/10.1007/s40808-019-00653-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 6 2019 1 28 09 39-49
allfieldsGer	10.1007/s40808-019-00653-4 doi (DE-627)SPR037843443 (SPR)s40808-019-00653-4-e DE-627 ger DE-627 rakwb eng Shukla, J. B. verfasserin aut Modeling the effect of sanitation in a human habitat to control the spread of bacterial diseases 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2019 Abstract The improper and poor sanitation, unclean drinking water and lack of hygiene are the key factors that affect the spread of various infectious diseases such as tuberculosis, typhoid fever,and cholera. In this paper, the effect of sanitation effort to control the spread of bacterial diseases is modeled and analyzed. In the modeling process, the total human population in the habitat is divided into two classes of susceptibles and infectives. The disease is assumed to spread directly by contact of susceptibles with infectives and indirectly by bacteria released by infectives in the environment affecting the susceptibles. It is assumed that the bacterial population density is directly proportional to the infective population. To mitigate the bacteria population present in the environment, suitable sanitation effort is applied to keep the environment clean so that the spread of disease could be controlled. The sanitation effort applied is modeled logistically, the intrinsic growth of which is assumed to be directly proportional to the density of bacteria present in the environment. The proposed model is analyzed using the stability theory of differential equations and numerical simulation. The analysis of the model reveals that by increasing the rate of sanitation effort, the bacteria population in the environment declines. This decrease in bacteria population in the environment ultimately decreases the infective population. Thus, the spread of bacterial diseases can be controlled if suitable sanitation effort is applied to curtail the bacterial population in the environment. Mathematical model (dpeaa)DE-He213 Infectious disease (dpeaa)DE-He213 Bacteria population (dpeaa)DE-He213 Stability (dpeaa)DE-He213 Sanitation effort (dpeaa)DE-He213 Naresh, Ram aut Verma, Sandhya Rani (orcid)0000-0001-9201-2436 aut Agarwal, Manju aut Enthalten in Modeling earth systems and environment Berlin : Springer, 2015 6(2019), 1 vom: 28. Sept., Seite 39-49 (DE-627)825736587 (DE-600)2821317-8 2363-6211 nnns volume:6 year:2019 number:1 day:28 month:09 pages:39-49 https://dx.doi.org/10.1007/s40808-019-00653-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 6 2019 1 28 09 39-49
allfieldsSound	10.1007/s40808-019-00653-4 doi (DE-627)SPR037843443 (SPR)s40808-019-00653-4-e DE-627 ger DE-627 rakwb eng Shukla, J. B. verfasserin aut Modeling the effect of sanitation in a human habitat to control the spread of bacterial diseases 2019 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer Nature Switzerland AG 2019 Abstract The improper and poor sanitation, unclean drinking water and lack of hygiene are the key factors that affect the spread of various infectious diseases such as tuberculosis, typhoid fever,and cholera. In this paper, the effect of sanitation effort to control the spread of bacterial diseases is modeled and analyzed. In the modeling process, the total human population in the habitat is divided into two classes of susceptibles and infectives. The disease is assumed to spread directly by contact of susceptibles with infectives and indirectly by bacteria released by infectives in the environment affecting the susceptibles. It is assumed that the bacterial population density is directly proportional to the infective population. To mitigate the bacteria population present in the environment, suitable sanitation effort is applied to keep the environment clean so that the spread of disease could be controlled. The sanitation effort applied is modeled logistically, the intrinsic growth of which is assumed to be directly proportional to the density of bacteria present in the environment. The proposed model is analyzed using the stability theory of differential equations and numerical simulation. The analysis of the model reveals that by increasing the rate of sanitation effort, the bacteria population in the environment declines. This decrease in bacteria population in the environment ultimately decreases the infective population. Thus, the spread of bacterial diseases can be controlled if suitable sanitation effort is applied to curtail the bacterial population in the environment. Mathematical model (dpeaa)DE-He213 Infectious disease (dpeaa)DE-He213 Bacteria population (dpeaa)DE-He213 Stability (dpeaa)DE-He213 Sanitation effort (dpeaa)DE-He213 Naresh, Ram aut Verma, Sandhya Rani (orcid)0000-0001-9201-2436 aut Agarwal, Manju aut Enthalten in Modeling earth systems and environment Berlin : Springer, 2015 6(2019), 1 vom: 28. Sept., Seite 39-49 (DE-627)825736587 (DE-600)2821317-8 2363-6211 nnns volume:6 year:2019 number:1 day:28 month:09 pages:39-49 https://dx.doi.org/10.1007/s40808-019-00653-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OLC-PHA GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 6 2019 1 28 09 39-49
language	English
source	Enthalten in Modeling earth systems and environment 6(2019), 1 vom: 28. Sept., Seite 39-49 volume:6 year:2019 number:1 day:28 month:09 pages:39-49
sourceStr	Enthalten in Modeling earth systems and environment 6(2019), 1 vom: 28. Sept., Seite 39-49 volume:6 year:2019 number:1 day:28 month:09 pages:39-49
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topic_facet	Mathematical model Infectious disease Bacteria population Stability Sanitation effort
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container_title	Modeling earth systems and environment
authorswithroles_txt_mv	Shukla, J. B. @@aut@@ Naresh, Ram @@aut@@ Verma, Sandhya Rani @@aut@@ Agarwal, Manju @@aut@@
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B.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Modeling the effect of sanitation in a human habitat to control the spread of bacterial diseases</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2019</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Nature Switzerland AG 2019</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract The improper and poor sanitation, unclean drinking water and lack of hygiene are the key factors that affect the spread of various infectious diseases such as tuberculosis, typhoid fever,and cholera. In this paper, the effect of sanitation effort to control the spread of bacterial diseases is modeled and analyzed. In the modeling process, the total human population in the habitat is divided into two classes of susceptibles and infectives. The disease is assumed to spread directly by contact of susceptibles with infectives and indirectly by bacteria released by infectives in the environment affecting the susceptibles. It is assumed that the bacterial population density is directly proportional to the infective population. To mitigate the bacteria population present in the environment, suitable sanitation effort is applied to keep the environment clean so that the spread of disease could be controlled. The sanitation effort applied is modeled logistically, the intrinsic growth of which is assumed to be directly proportional to the density of bacteria present in the environment. 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author	Shukla, J. B.
spellingShingle	Shukla, J. B. misc Mathematical model misc Infectious disease misc Bacteria population misc Stability misc Sanitation effort Modeling the effect of sanitation in a human habitat to control the spread of bacterial diseases
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topic_title	Modeling the effect of sanitation in a human habitat to control the spread of bacterial diseases Mathematical model (dpeaa)DE-He213 Infectious disease (dpeaa)DE-He213 Bacteria population (dpeaa)DE-He213 Stability (dpeaa)DE-He213 Sanitation effort (dpeaa)DE-He213
topic	misc Mathematical model misc Infectious disease misc Bacteria population misc Stability misc Sanitation effort
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title_sort	modeling the effect of sanitation in a human habitat to control the spread of bacterial diseases
title_auth	Modeling the effect of sanitation in a human habitat to control the spread of bacterial diseases
abstract	Abstract The improper and poor sanitation, unclean drinking water and lack of hygiene are the key factors that affect the spread of various infectious diseases such as tuberculosis, typhoid fever,and cholera. In this paper, the effect of sanitation effort to control the spread of bacterial diseases is modeled and analyzed. In the modeling process, the total human population in the habitat is divided into two classes of susceptibles and infectives. The disease is assumed to spread directly by contact of susceptibles with infectives and indirectly by bacteria released by infectives in the environment affecting the susceptibles. It is assumed that the bacterial population density is directly proportional to the infective population. To mitigate the bacteria population present in the environment, suitable sanitation effort is applied to keep the environment clean so that the spread of disease could be controlled. The sanitation effort applied is modeled logistically, the intrinsic growth of which is assumed to be directly proportional to the density of bacteria present in the environment. The proposed model is analyzed using the stability theory of differential equations and numerical simulation. The analysis of the model reveals that by increasing the rate of sanitation effort, the bacteria population in the environment declines. This decrease in bacteria population in the environment ultimately decreases the infective population. Thus, the spread of bacterial diseases can be controlled if suitable sanitation effort is applied to curtail the bacterial population in the environment. © Springer Nature Switzerland AG 2019
abstractGer	Abstract The improper and poor sanitation, unclean drinking water and lack of hygiene are the key factors that affect the spread of various infectious diseases such as tuberculosis, typhoid fever,and cholera. In this paper, the effect of sanitation effort to control the spread of bacterial diseases is modeled and analyzed. In the modeling process, the total human population in the habitat is divided into two classes of susceptibles and infectives. The disease is assumed to spread directly by contact of susceptibles with infectives and indirectly by bacteria released by infectives in the environment affecting the susceptibles. It is assumed that the bacterial population density is directly proportional to the infective population. To mitigate the bacteria population present in the environment, suitable sanitation effort is applied to keep the environment clean so that the spread of disease could be controlled. The sanitation effort applied is modeled logistically, the intrinsic growth of which is assumed to be directly proportional to the density of bacteria present in the environment. The proposed model is analyzed using the stability theory of differential equations and numerical simulation. The analysis of the model reveals that by increasing the rate of sanitation effort, the bacteria population in the environment declines. This decrease in bacteria population in the environment ultimately decreases the infective population. Thus, the spread of bacterial diseases can be controlled if suitable sanitation effort is applied to curtail the bacterial population in the environment. © Springer Nature Switzerland AG 2019
abstract_unstemmed	Abstract The improper and poor sanitation, unclean drinking water and lack of hygiene are the key factors that affect the spread of various infectious diseases such as tuberculosis, typhoid fever,and cholera. In this paper, the effect of sanitation effort to control the spread of bacterial diseases is modeled and analyzed. In the modeling process, the total human population in the habitat is divided into two classes of susceptibles and infectives. The disease is assumed to spread directly by contact of susceptibles with infectives and indirectly by bacteria released by infectives in the environment affecting the susceptibles. It is assumed that the bacterial population density is directly proportional to the infective population. To mitigate the bacteria population present in the environment, suitable sanitation effort is applied to keep the environment clean so that the spread of disease could be controlled. The sanitation effort applied is modeled logistically, the intrinsic growth of which is assumed to be directly proportional to the density of bacteria present in the environment. The proposed model is analyzed using the stability theory of differential equations and numerical simulation. The analysis of the model reveals that by increasing the rate of sanitation effort, the bacteria population in the environment declines. This decrease in bacteria population in the environment ultimately decreases the infective population. Thus, the spread of bacterial diseases can be controlled if suitable sanitation effort is applied to curtail the bacterial population in the environment. © Springer Nature Switzerland AG 2019
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title_short	Modeling the effect of sanitation in a human habitat to control the spread of bacterial diseases
url	https://dx.doi.org/10.1007/s40808-019-00653-4
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author2	Naresh, Ram Verma, Sandhya Rani Agarwal, Manju
author2Str	Naresh, Ram Verma, Sandhya Rani Agarwal, Manju
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doi_str	10.1007/s40808-019-00653-4
up_date	2024-07-03T14:40:00.348Z
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score	7.399579

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Modeling the effect of sanitation in a human habitat to control the spread of bacterial diseases

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