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Pattern dynamics of a spatial epidemic model with time delay.

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Title: Pattern dynamics of a spatial epidemic model with time delay.
Authors: Song, Li-Peng1 slp880nuc@sina.com, Zhang , Rong-Ping1, Feng , Li-Ping1, Shi, Qiong1
Source: Applied Mathematics & Computation. Jan2017, Vol. 292, p390-399. 10p.
Subjects: Epidemiological models, Spatiotemporal processes, Computer simulation, Nonlinear analysis, Communicable diseases, Mathematical models
Abstract: The nonlinear incidence rate can explain the complicated infectious process of disease. And time delay describing the latent period widely exists in the process of disease contagion. In this paper, a spatiotemporal epidemic model with nonlinear incidence rate is investigated. In particular, we considered that the time delay is relatively small. In this case, the characteristic equation are derived, we obtain two mechanisms of instability of the positive constant stationary state, that is, One is the diffusion induced instability, and the other one is delay induced instability. Moreover, the results of numerical simulation validate our theoretical analyses. The obtained results may well catch some major features for epidemic models. [ABSTRACT FROM AUTHOR]
Copyright of Applied Mathematics & Computation is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 117799445
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: Pattern dynamics of a spatial epidemic model with time delay.
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  Data: <searchLink fieldCode="AR" term="%22Song%2C+Li-Peng%22">Song, Li-Peng</searchLink><relatesTo>1</relatesTo><i> slp880nuc@sina.com</i><br /><searchLink fieldCode="AR" term="%22Zhang %2C+Rong-Ping%22">Zhang , Rong-Ping</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Feng %2C+Li-Ping%22">Feng , Li-Ping</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Shi%2C+Qiong%22">Shi, Qiong</searchLink><relatesTo>1</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Applied+Mathematics+%26+Computation%22">Applied Mathematics & Computation</searchLink>. Jan2017, Vol. 292, p390-399. 10p.
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  Data: <searchLink fieldCode="DE" term="%22Epidemiological+models%22">Epidemiological models</searchLink><br /><searchLink fieldCode="DE" term="%22Spatiotemporal+processes%22">Spatiotemporal processes</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Nonlinear+analysis%22">Nonlinear analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Communicable+diseases%22">Communicable diseases</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+models%22">Mathematical models</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The nonlinear incidence rate can explain the complicated infectious process of disease. And time delay describing the latent period widely exists in the process of disease contagion. In this paper, a spatiotemporal epidemic model with nonlinear incidence rate is investigated. In particular, we considered that the time delay is relatively small. In this case, the characteristic equation are derived, we obtain two mechanisms of instability of the positive constant stationary state, that is, One is the diffusion induced instability, and the other one is delay induced instability. Moreover, the results of numerical simulation validate our theoretical analyses. The obtained results may well catch some major features for epidemic models. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Applied Mathematics & Computation is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.amc.2016.07.013
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      – Code: eng
        Text: English
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        PageCount: 10
        StartPage: 390
    Subjects:
      – SubjectFull: Epidemiological models
        Type: general
      – SubjectFull: Spatiotemporal processes
        Type: general
      – SubjectFull: Computer simulation
        Type: general
      – SubjectFull: Nonlinear analysis
        Type: general
      – SubjectFull: Communicable diseases
        Type: general
      – SubjectFull: Mathematical models
        Type: general
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      – TitleFull: Pattern dynamics of a spatial epidemic model with time delay.
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              M: 01
              Text: Jan2017
              Type: published
              Y: 2017
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              Value: 292
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