Dynamics of a nonlocal SIS epidemic model with free boundary

Jia-Feng Cao; Wan-Tong Li; Fei-Ying Yang

doi:10.3934/dcdsb.2017013

Article Contents

2017, Volume 22, Issue 2: 247-266. Doi: 10.3934/dcdsb.2017013

This issue Previous Article Convergence rate of synchronization of systems with additive noise Next Article Optimality conditions for a controlled sweeping process with applications to the crowd motion model

Dynamics of a nonlocal SIS epidemic model with free boundary

School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, China

* Corresponding author
* Corresponding author

Received: January 31, 2016

Revised: February 29, 2016

Published: December 2017

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Abstract

This paper is concerned with the spreading or vanishing of a epidemic disease which is characterized by a diffusion SIS model with nonlocal incidence rate and double free boundaries. We get the full information about the sufficient conditions that ensure the disease spreading or vanishing, which exhibits a detailed description of the communicable mechanism of the disease. Our results imply that the nonlocal interaction may enhance the spread of the disease.

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Mathematics Subject Classification: 35K57, 35R20, 92D25.

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