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2014 Existence of Traveling Waves for a Delayed SIRS Epidemic Diffusion Model with Saturation Incidence Rate
Kai Zhou, Qi-Ru Wang
Abstr. Appl. Anal. 2014: 1-8 (2014). DOI: 10.1155/2014/369072

Abstract

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 analyzsis, 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.

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Kai Zhou. Qi-Ru Wang. "Existence of Traveling Waves for a Delayed SIRS Epidemic Diffusion Model with Saturation Incidence Rate." Abstr. Appl. Anal. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/369072

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07022240
MathSciNet: MR3206783
Digital Object Identifier: 10.1155/2014/369072

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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