Existence of traveling waves for a delayed SIRS epidemic diffusion model with saturation incidence rate
Summary: This paper is concerned with the existence of traveling waves for a delayed SIRS epidemic diffusion model with saturation incidence rate. By using the cross-iteration method and Schauder's fixed point theorem, we reduce the existence of traveling waves to the existence of a pair of upper-lower solutions. By careful analysis, we derive the existence of traveling waves connecting the disease-free steady state and the endemic steady state through the establishment of the suitable upper-lower solutions.
scientific article; zbMATH DE number 7022240