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

作者: Xiaohong Tian , Rui Xu

DOI: 10.1155/2014/795320

关键词: Fixed-point theoremNonlinear incidenceTraveling waveApplied mathematicsMathematicsCalculusInfectious disease (medical specialty)

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

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