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.
Citation
Xiaohong Tian. Rui Xu. "Traveling Wave Solutions for a Delayed SIRS Infectious Disease Model with Nonlocal Diffusion and Nonlinear Incidence." Abstr. Appl. Anal. 2014 (SI01) 1 - 9, 2014. https://doi.org/10.1155/2014/795320