Traveling Wave Solutions for a Delayed SIRS Infectious Disease Model with Nonlocal Diffusion and Nonlinear Incidence

Xiaohong Tian and Rui Xu

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

A delayed SIRS infectious disease model with nonlocal diffusion and nonlinear incidence is investigated. By constructing a pair of upper-lower solutions and using Schauder's fixed point theorem, we derive the existence of a traveling wave solution connecting the disease-free steady state and the endemic steady state.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:795320

DOI: 10.1155/2014/795320

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