Travelling waves of nonlocal isotropic and anisotropic diffusive epidemic models with temporal delay
Abstract This paper is concerned with a nonlocal version of the man-environment-man epidemic model in which the dispersion of the infectious agents is assumed to follow a nonlocal diffusion law modelled by a convolution operator with symmetric or asymmetric kernel. By constructing appropriate upper...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Zhang, Guosheng [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2012 |
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| Anmerkung: |
© Springer Science+Business Media, LLC 2012 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of dynamical and control systems - Springer US, 1995, 18(2012), 2 vom: Apr., Seite 229-246 |
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| Übergeordnetes Werk: |
volume:18 ; year:2012 ; number:2 ; month:04 ; pages:229-246 |
| Links: |
|---|
| DOI / URN: |
10.1007/s10883-012-9141-8 |
|---|
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OLC2053613602 |
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| 520 | |a Abstract This paper is concerned with a nonlocal version of the man-environment-man epidemic model in which the dispersion of the infectious agents is assumed to follow a nonlocal diffusion law modelled by a convolution operator with symmetric or asymmetric kernel. By constructing appropriate upper and lower solutions, we prove the existence of travelling wave fronts of this model. Moreover, we show that the minimal wave speed exists in this model with symmetric or asymmetric dispersion kernel, and the temporal delay in epidemic model can reduce the speed of epidemic spread. | ||
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10.1007/s10883-012-9141-8 doi (DE-627)OLC2053613602 (DE-He213)s10883-012-9141-8-p DE-627 ger DE-627 rakwb eng 004 VZ 17,1 ssgn Zhang, Guosheng verfasserin aut Travelling waves of nonlocal isotropic and anisotropic diffusive epidemic models with temporal delay 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2012 Abstract This paper is concerned with a nonlocal version of the man-environment-man epidemic model in which the dispersion of the infectious agents is assumed to follow a nonlocal diffusion law modelled by a convolution operator with symmetric or asymmetric kernel. By constructing appropriate upper and lower solutions, we prove the existence of travelling wave fronts of this model. Moreover, we show that the minimal wave speed exists in this model with symmetric or asymmetric dispersion kernel, and the temporal delay in epidemic model can reduce the speed of epidemic spread. Wang, Yifu aut Enthalten in Journal of dynamical and control systems Springer US, 1995 18(2012), 2 vom: Apr., Seite 229-246 (DE-627)189059311 (DE-600)1287603-3 (DE-576)101177151 1079-2724 nnns volume:18 year:2012 number:2 month:04 pages:229-246 https://doi.org/10.1007/s10883-012-9141-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 AR 18 2012 2 04 229-246 |
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10.1007/s10883-012-9141-8 doi (DE-627)OLC2053613602 (DE-He213)s10883-012-9141-8-p DE-627 ger DE-627 rakwb eng 004 VZ 17,1 ssgn Zhang, Guosheng verfasserin aut Travelling waves of nonlocal isotropic and anisotropic diffusive epidemic models with temporal delay 2012 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC 2012 Abstract This paper is concerned with a nonlocal version of the man-environment-man epidemic model in which the dispersion of the infectious agents is assumed to follow a nonlocal diffusion law modelled by a convolution operator with symmetric or asymmetric kernel. By constructing appropriate upper and lower solutions, we prove the existence of travelling wave fronts of this model. Moreover, we show that the minimal wave speed exists in this model with symmetric or asymmetric dispersion kernel, and the temporal delay in epidemic model can reduce the speed of epidemic spread. Wang, Yifu aut Enthalten in Journal of dynamical and control systems Springer US, 1995 18(2012), 2 vom: Apr., Seite 229-246 (DE-627)189059311 (DE-600)1287603-3 (DE-576)101177151 1079-2724 nnns volume:18 year:2012 number:2 month:04 pages:229-246 https://doi.org/10.1007/s10883-012-9141-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_40 GBV_ILN_70 AR 18 2012 2 04 229-246 |
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Travelling waves of nonlocal isotropic and anisotropic diffusive epidemic models with temporal delay |
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Abstract This paper is concerned with a nonlocal version of the man-environment-man epidemic model in which the dispersion of the infectious agents is assumed to follow a nonlocal diffusion law modelled by a convolution operator with symmetric or asymmetric kernel. By constructing appropriate upper and lower solutions, we prove the existence of travelling wave fronts of this model. Moreover, we show that the minimal wave speed exists in this model with symmetric or asymmetric dispersion kernel, and the temporal delay in epidemic model can reduce the speed of epidemic spread. © Springer Science+Business Media, LLC 2012 |
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Abstract This paper is concerned with a nonlocal version of the man-environment-man epidemic model in which the dispersion of the infectious agents is assumed to follow a nonlocal diffusion law modelled by a convolution operator with symmetric or asymmetric kernel. By constructing appropriate upper and lower solutions, we prove the existence of travelling wave fronts of this model. Moreover, we show that the minimal wave speed exists in this model with symmetric or asymmetric dispersion kernel, and the temporal delay in epidemic model can reduce the speed of epidemic spread. © Springer Science+Business Media, LLC 2012 |
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Abstract This paper is concerned with a nonlocal version of the man-environment-man epidemic model in which the dispersion of the infectious agents is assumed to follow a nonlocal diffusion law modelled by a convolution operator with symmetric or asymmetric kernel. By constructing appropriate upper and lower solutions, we prove the existence of travelling wave fronts of this model. Moreover, we show that the minimal wave speed exists in this model with symmetric or asymmetric dispersion kernel, and the temporal delay in epidemic model can reduce the speed of epidemic spread. © Springer Science+Business Media, LLC 2012 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2053613602</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230503135317.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">200819s2012 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s10883-012-9141-8</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2053613602</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s10883-012-9141-8-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">004</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Zhang, Guosheng</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Travelling waves of nonlocal isotropic and anisotropic diffusive epidemic models with temporal delay</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2012</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">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Springer Science+Business Media, LLC 2012</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract This paper is concerned with a nonlocal version of the man-environment-man epidemic model in which the dispersion of the infectious agents is assumed to follow a nonlocal diffusion law modelled by a convolution operator with symmetric or asymmetric kernel. By constructing appropriate upper and lower solutions, we prove the existence of travelling wave fronts of this model. Moreover, we show that the minimal wave speed exists in this model with symmetric or asymmetric dispersion kernel, and the temporal delay in epidemic model can reduce the speed of epidemic spread.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Wang, Yifu</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Journal of dynamical and control systems</subfield><subfield code="d">Springer US, 1995</subfield><subfield code="g">18(2012), 2 vom: Apr., Seite 229-246</subfield><subfield code="w">(DE-627)189059311</subfield><subfield code="w">(DE-600)1287603-3</subfield><subfield code="w">(DE-576)101177151</subfield><subfield code="x">1079-2724</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:18</subfield><subfield code="g">year:2012</subfield><subfield code="g">number:2</subfield><subfield code="g">month:04</subfield><subfield code="g">pages:229-246</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s10883-012-9141-8</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_40</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ILN_70</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">18</subfield><subfield code="j">2012</subfield><subfield code="e">2</subfield><subfield code="c">04</subfield><subfield code="h">229-246</subfield></datafield></record></collection>
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