Journal article
Periodic traveling waves in SIRS endemic models
Mathematical and computer modelling, Vol.49(1-2), pp.393-401
01/01/2009
DOI: 10.1016/j.mcm.2008.07.033
Abstract
Mathematical models are used to determine if infection wave fronts could occur by traveling geographically in a loop around a region or continent. These infection wave fronts arise by Hopf bifurcation for some spatial models for infectious disease transmission with distributed-contacts. Periodic traveling waves are shown to exist for the spatial analog of the SIRS endemic model, in which the temporary immunity is described by a delay, but they do not exist in a similar spatial SIRS endemic model without a delay. Specifically, we found that the ratio of the delay omega in the recovered class and the average infectious period 1/gamma must be sufficiently large for Hopf bifurcation to occur. (C) 2008 Elsevier Ltd. All rights reserved.
Details
- Title: Subtitle
- Periodic traveling waves in SIRS endemic models
- Creators
- Tong Li - University of IowaYi Li - University of IowaHerbert W Hethcote - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Mathematical and computer modelling, Vol.49(1-2), pp.393-401
- DOI
- 10.1016/j.mcm.2008.07.033
- ISSN
- 0895-7177
- eISSN
- 1872-9479
- Publisher
- PERGAMON-ELSEVIER SCIENCE LTD
- Number of pages
- 9
- Grant note
- Hunan Normal University Xiao-Xiang Fund
- Language
- English
- Date published
- 01/01/2009
- Academic Unit
- Mathematics
- Record Identifier
- 9984240872502771
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