Existence of traveling waves for a delayed SIRS epidemic diffusion model with saturation incidence rate
type: Item
instance of: scholarly article
title: Existence of traveling waves for a delayed SIRS epidemic diffusion model with saturation incidence rate
zbMATH Open document ID: 1406.92647
DOI: 10.1155/2014/369072
author: Kai Zhou
author: Qiru Wang
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 35Q92
zbMATH DE Number: 7022240
zbMATH Keywords: delayed SIRS epidemic diffusion
zbMATH Keywords: traveling waves
zbMATH Keywords: saturation incidence rate
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/369072
OpenAlex ID: W2113051484
Wikidata QID: Q59036728
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description: scientific article; zbMATH DE number 7022240