An almost periodic epidemic model in a patchy environment

Bin-Guo  Wang; Wan-Tong Li; Lizhong  Qiang

doi:10.3934/dcdsb.2016.21.271

Article Contents

2016, Volume 21, Issue 1: 271-289. Doi: 10.3934/dcdsb.2016.21.271

This issue Previous Article Stability analysis for discrete-time coupled systems with multi-diffusion by graph-theoretic approach and its application Next Article An almost periodic epidemic model with age structure in a patchy environment

An almost periodic epidemic model in a patchy environment

1.
School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000
2.
School of Mathematics and Statistics, Key Laboratory of Applied Mathematics and Complex Systems, Lanzhou University, Lanzhou, Gansu 730000

Received: July 31, 2014

Revised: May 31, 2015

Published: December 2015

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Abstract

The persistence and extinction of an almost periodic epidemic model in a patchy environment are studied. It is shown that the disease cannot invade the disease-free state if the exponential growth bound is less than zero and can invade if it is greater than zero. It is also shown that there exists an almost periodic solution which is globally attractive when each patch admits the same dispersal rate. Finally, numerical simulations illustrate the above results.

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Mathematics Subject Classification: 35B15, 37B55, 92D30.

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