Impact of farming awareness and delay on the dynamics of mosaic disease in Jatropha curcas plantations
Abstract Jatropha curcas plants are known to be seriously affected by the mosaic virus carried by infected whiteflies, causing the mosaic disease. Disease control is an important factor to obtain a healthy crop, but in agricultural practice farming awareness is equally important. People involved in...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Basir, Fahad Al [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2018 |
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| Schlagwörter: |
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| Anmerkung: |
© SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2018 |
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| Übergeordnetes Werk: |
Enthalten in: Computational and applied mathematics - Berlin : Springer, 2003, 37(2018), 5 vom: 17. Juli, Seite 6108-6131 |
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| Übergeordnetes Werk: |
volume:37 ; year:2018 ; number:5 ; day:17 ; month:07 ; pages:6108-6131 |
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| DOI / URN: |
10.1007/s40314-018-0675-6 |
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SPR036780103 |
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| 100 | 1 | |a Basir, Fahad Al |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Impact of farming awareness and delay on the dynamics of mosaic disease in Jatropha curcas plantations |
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| 520 | |a Abstract Jatropha curcas plants are known to be seriously affected by the mosaic virus carried by infected whiteflies, causing the mosaic disease. Disease control is an important factor to obtain a healthy crop, but in agricultural practice farming awareness is equally important. People involved in cultivation may indeed take some time before becoming aware of the problem and respond to it adequately. In this article, a mathematical model is proposed considering farming awareness and delay. The model exhibits two equilibria such as the disease-free equilibrium and endemic equilibrium. The disease-free equilibrium is stable if the basic reproduction number is less than unity and the endemic equilibrium exhibits Hopf bifurcation whenever it exists. The direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions have been investigated using central manifold theorem and normal form theory. Numerical simulations fulfil the analytical outcomes. | ||
| 650 | 4 | |a plant |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Mosaic disease |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Farming awareness |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Basic reproduction number |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Time delay |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Direction and stability of Hopf bifurcation |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Venturino, Ezio |4 aut | |
| 700 | 1 | |a Ray, Santanu |4 aut | |
| 700 | 1 | |a Roy, Priti Kumar |4 aut | |
| 773 | 0 | 8 | |i Enthalten in |t Computational and applied mathematics |d Berlin : Springer, 2003 |g 37(2018), 5 vom: 17. Juli, Seite 6108-6131 |w (DE-627)47617502X |w (DE-600)2171678-X |x 1807-0302 |7 nnns |
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10.1007/s40314-018-0675-6 doi (DE-627)SPR036780103 (SPR)s40314-018-0675-6-e DE-627 ger DE-627 rakwb eng Basir, Fahad Al verfasserin aut Impact of farming awareness and delay on the dynamics of mosaic disease in Jatropha curcas plantations 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2018 Abstract Jatropha curcas plants are known to be seriously affected by the mosaic virus carried by infected whiteflies, causing the mosaic disease. Disease control is an important factor to obtain a healthy crop, but in agricultural practice farming awareness is equally important. People involved in cultivation may indeed take some time before becoming aware of the problem and respond to it adequately. In this article, a mathematical model is proposed considering farming awareness and delay. The model exhibits two equilibria such as the disease-free equilibrium and endemic equilibrium. The disease-free equilibrium is stable if the basic reproduction number is less than unity and the endemic equilibrium exhibits Hopf bifurcation whenever it exists. The direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions have been investigated using central manifold theorem and normal form theory. Numerical simulations fulfil the analytical outcomes. plant (dpeaa)DE-He213 Mosaic disease (dpeaa)DE-He213 Farming awareness (dpeaa)DE-He213 Basic reproduction number (dpeaa)DE-He213 Time delay (dpeaa)DE-He213 Direction and stability of Hopf bifurcation (dpeaa)DE-He213 Venturino, Ezio aut Ray, Santanu aut Roy, Priti Kumar aut Enthalten in Computational and applied mathematics Berlin : Springer, 2003 37(2018), 5 vom: 17. Juli, Seite 6108-6131 (DE-627)47617502X (DE-600)2171678-X 1807-0302 nnns volume:37 year:2018 number:5 day:17 month:07 pages:6108-6131 https://dx.doi.org/10.1007/s40314-018-0675-6 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 37 2018 5 17 07 6108-6131 |
| spelling |
10.1007/s40314-018-0675-6 doi (DE-627)SPR036780103 (SPR)s40314-018-0675-6-e DE-627 ger DE-627 rakwb eng Basir, Fahad Al verfasserin aut Impact of farming awareness and delay on the dynamics of mosaic disease in Jatropha curcas plantations 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2018 Abstract Jatropha curcas plants are known to be seriously affected by the mosaic virus carried by infected whiteflies, causing the mosaic disease. Disease control is an important factor to obtain a healthy crop, but in agricultural practice farming awareness is equally important. People involved in cultivation may indeed take some time before becoming aware of the problem and respond to it adequately. In this article, a mathematical model is proposed considering farming awareness and delay. The model exhibits two equilibria such as the disease-free equilibrium and endemic equilibrium. The disease-free equilibrium is stable if the basic reproduction number is less than unity and the endemic equilibrium exhibits Hopf bifurcation whenever it exists. The direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions have been investigated using central manifold theorem and normal form theory. Numerical simulations fulfil the analytical outcomes. plant (dpeaa)DE-He213 Mosaic disease (dpeaa)DE-He213 Farming awareness (dpeaa)DE-He213 Basic reproduction number (dpeaa)DE-He213 Time delay (dpeaa)DE-He213 Direction and stability of Hopf bifurcation (dpeaa)DE-He213 Venturino, Ezio aut Ray, Santanu aut Roy, Priti Kumar aut Enthalten in Computational and applied mathematics Berlin : Springer, 2003 37(2018), 5 vom: 17. Juli, Seite 6108-6131 (DE-627)47617502X (DE-600)2171678-X 1807-0302 nnns volume:37 year:2018 number:5 day:17 month:07 pages:6108-6131 https://dx.doi.org/10.1007/s40314-018-0675-6 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 37 2018 5 17 07 6108-6131 |
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10.1007/s40314-018-0675-6 doi (DE-627)SPR036780103 (SPR)s40314-018-0675-6-e DE-627 ger DE-627 rakwb eng Basir, Fahad Al verfasserin aut Impact of farming awareness and delay on the dynamics of mosaic disease in Jatropha curcas plantations 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2018 Abstract Jatropha curcas plants are known to be seriously affected by the mosaic virus carried by infected whiteflies, causing the mosaic disease. Disease control is an important factor to obtain a healthy crop, but in agricultural practice farming awareness is equally important. People involved in cultivation may indeed take some time before becoming aware of the problem and respond to it adequately. In this article, a mathematical model is proposed considering farming awareness and delay. The model exhibits two equilibria such as the disease-free equilibrium and endemic equilibrium. The disease-free equilibrium is stable if the basic reproduction number is less than unity and the endemic equilibrium exhibits Hopf bifurcation whenever it exists. The direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions have been investigated using central manifold theorem and normal form theory. Numerical simulations fulfil the analytical outcomes. plant (dpeaa)DE-He213 Mosaic disease (dpeaa)DE-He213 Farming awareness (dpeaa)DE-He213 Basic reproduction number (dpeaa)DE-He213 Time delay (dpeaa)DE-He213 Direction and stability of Hopf bifurcation (dpeaa)DE-He213 Venturino, Ezio aut Ray, Santanu aut Roy, Priti Kumar aut Enthalten in Computational and applied mathematics Berlin : Springer, 2003 37(2018), 5 vom: 17. Juli, Seite 6108-6131 (DE-627)47617502X (DE-600)2171678-X 1807-0302 nnns volume:37 year:2018 number:5 day:17 month:07 pages:6108-6131 https://dx.doi.org/10.1007/s40314-018-0675-6 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 37 2018 5 17 07 6108-6131 |
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10.1007/s40314-018-0675-6 doi (DE-627)SPR036780103 (SPR)s40314-018-0675-6-e DE-627 ger DE-627 rakwb eng Basir, Fahad Al verfasserin aut Impact of farming awareness and delay on the dynamics of mosaic disease in Jatropha curcas plantations 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2018 Abstract Jatropha curcas plants are known to be seriously affected by the mosaic virus carried by infected whiteflies, causing the mosaic disease. Disease control is an important factor to obtain a healthy crop, but in agricultural practice farming awareness is equally important. People involved in cultivation may indeed take some time before becoming aware of the problem and respond to it adequately. In this article, a mathematical model is proposed considering farming awareness and delay. The model exhibits two equilibria such as the disease-free equilibrium and endemic equilibrium. The disease-free equilibrium is stable if the basic reproduction number is less than unity and the endemic equilibrium exhibits Hopf bifurcation whenever it exists. The direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions have been investigated using central manifold theorem and normal form theory. Numerical simulations fulfil the analytical outcomes. plant (dpeaa)DE-He213 Mosaic disease (dpeaa)DE-He213 Farming awareness (dpeaa)DE-He213 Basic reproduction number (dpeaa)DE-He213 Time delay (dpeaa)DE-He213 Direction and stability of Hopf bifurcation (dpeaa)DE-He213 Venturino, Ezio aut Ray, Santanu aut Roy, Priti Kumar aut Enthalten in Computational and applied mathematics Berlin : Springer, 2003 37(2018), 5 vom: 17. Juli, Seite 6108-6131 (DE-627)47617502X (DE-600)2171678-X 1807-0302 nnns volume:37 year:2018 number:5 day:17 month:07 pages:6108-6131 https://dx.doi.org/10.1007/s40314-018-0675-6 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 37 2018 5 17 07 6108-6131 |
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10.1007/s40314-018-0675-6 doi (DE-627)SPR036780103 (SPR)s40314-018-0675-6-e DE-627 ger DE-627 rakwb eng Basir, Fahad Al verfasserin aut Impact of farming awareness and delay on the dynamics of mosaic disease in Jatropha curcas plantations 2018 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2018 Abstract Jatropha curcas plants are known to be seriously affected by the mosaic virus carried by infected whiteflies, causing the mosaic disease. Disease control is an important factor to obtain a healthy crop, but in agricultural practice farming awareness is equally important. People involved in cultivation may indeed take some time before becoming aware of the problem and respond to it adequately. In this article, a mathematical model is proposed considering farming awareness and delay. The model exhibits two equilibria such as the disease-free equilibrium and endemic equilibrium. The disease-free equilibrium is stable if the basic reproduction number is less than unity and the endemic equilibrium exhibits Hopf bifurcation whenever it exists. The direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions have been investigated using central manifold theorem and normal form theory. Numerical simulations fulfil the analytical outcomes. plant (dpeaa)DE-He213 Mosaic disease (dpeaa)DE-He213 Farming awareness (dpeaa)DE-He213 Basic reproduction number (dpeaa)DE-He213 Time delay (dpeaa)DE-He213 Direction and stability of Hopf bifurcation (dpeaa)DE-He213 Venturino, Ezio aut Ray, Santanu aut Roy, Priti Kumar aut Enthalten in Computational and applied mathematics Berlin : Springer, 2003 37(2018), 5 vom: 17. Juli, Seite 6108-6131 (DE-627)47617502X (DE-600)2171678-X 1807-0302 nnns volume:37 year:2018 number:5 day:17 month:07 pages:6108-6131 https://dx.doi.org/10.1007/s40314-018-0675-6 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 37 2018 5 17 07 6108-6131 |
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Enthalten in Computational and applied mathematics 37(2018), 5 vom: 17. Juli, Seite 6108-6131 volume:37 year:2018 number:5 day:17 month:07 pages:6108-6131 |
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Enthalten in Computational and applied mathematics 37(2018), 5 vom: 17. Juli, Seite 6108-6131 volume:37 year:2018 number:5 day:17 month:07 pages:6108-6131 |
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Computational and applied mathematics |
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Basir, Fahad Al @@aut@@ Venturino, Ezio @@aut@@ Ray, Santanu @@aut@@ Roy, Priti Kumar @@aut@@ |
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2018-07-17T00:00:00Z |
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Basir, Fahad Al |
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Basir, Fahad Al misc plant misc Mosaic disease misc Farming awareness misc Basic reproduction number misc Time delay misc Direction and stability of Hopf bifurcation Impact of farming awareness and delay on the dynamics of mosaic disease in Jatropha curcas plantations |
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Impact of farming awareness and delay on the dynamics of mosaic disease in Jatropha curcas plantations plant (dpeaa)DE-He213 Mosaic disease (dpeaa)DE-He213 Farming awareness (dpeaa)DE-He213 Basic reproduction number (dpeaa)DE-He213 Time delay (dpeaa)DE-He213 Direction and stability of Hopf bifurcation (dpeaa)DE-He213 |
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Impact of farming awareness and delay on the dynamics of mosaic disease in Jatropha curcas plantations |
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Impact of farming awareness and delay on the dynamics of mosaic disease in Jatropha curcas plantations |
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impact of farming awareness and delay on the dynamics of mosaic disease in jatropha curcas plantations |
| title_auth |
Impact of farming awareness and delay on the dynamics of mosaic disease in Jatropha curcas plantations |
| abstract |
Abstract Jatropha curcas plants are known to be seriously affected by the mosaic virus carried by infected whiteflies, causing the mosaic disease. Disease control is an important factor to obtain a healthy crop, but in agricultural practice farming awareness is equally important. People involved in cultivation may indeed take some time before becoming aware of the problem and respond to it adequately. In this article, a mathematical model is proposed considering farming awareness and delay. The model exhibits two equilibria such as the disease-free equilibrium and endemic equilibrium. The disease-free equilibrium is stable if the basic reproduction number is less than unity and the endemic equilibrium exhibits Hopf bifurcation whenever it exists. The direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions have been investigated using central manifold theorem and normal form theory. Numerical simulations fulfil the analytical outcomes. © SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2018 |
| abstractGer |
Abstract Jatropha curcas plants are known to be seriously affected by the mosaic virus carried by infected whiteflies, causing the mosaic disease. Disease control is an important factor to obtain a healthy crop, but in agricultural practice farming awareness is equally important. People involved in cultivation may indeed take some time before becoming aware of the problem and respond to it adequately. In this article, a mathematical model is proposed considering farming awareness and delay. The model exhibits two equilibria such as the disease-free equilibrium and endemic equilibrium. The disease-free equilibrium is stable if the basic reproduction number is less than unity and the endemic equilibrium exhibits Hopf bifurcation whenever it exists. The direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions have been investigated using central manifold theorem and normal form theory. Numerical simulations fulfil the analytical outcomes. © SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2018 |
| abstract_unstemmed |
Abstract Jatropha curcas plants are known to be seriously affected by the mosaic virus carried by infected whiteflies, causing the mosaic disease. Disease control is an important factor to obtain a healthy crop, but in agricultural practice farming awareness is equally important. People involved in cultivation may indeed take some time before becoming aware of the problem and respond to it adequately. In this article, a mathematical model is proposed considering farming awareness and delay. The model exhibits two equilibria such as the disease-free equilibrium and endemic equilibrium. The disease-free equilibrium is stable if the basic reproduction number is less than unity and the endemic equilibrium exhibits Hopf bifurcation whenever it exists. The direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions have been investigated using central manifold theorem and normal form theory. Numerical simulations fulfil the analytical outcomes. © SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional 2018 |
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Impact of farming awareness and delay on the dynamics of mosaic disease in Jatropha curcas plantations |
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https://dx.doi.org/10.1007/s40314-018-0675-6 |
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Venturino, Ezio Ray, Santanu Roy, Priti Kumar |
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| doi_str |
10.1007/s40314-018-0675-6 |
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2024-07-03T19:36:07.912Z |
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