An almost periodic epidemic model with age structure in a patchy environment

Bin-Guo  Wang; Wan-Tong Li; Liang  Zhang

doi:10.3934/dcdsb.2016.21.291

Article Contents

2016, Volume 21, Issue 1: 291-311. Doi: 10.3934/dcdsb.2016.21.291

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An almost periodic epidemic model with age structure 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: September 30, 2014

Revised: July 31, 2015

Published: December 2015

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Abstract

An almost periodic epidemic model with age structure in a patchy environment is considered. The existence of the almost periodic disease-free solution and the definition of the basic reproduction ratio $R_{0}$ are given. Based on those, it is shown that a disease dies out if the basic reproduction number $R_{0}$ is less than unity and persists in the population if it is greater than unity.

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Mathematics Subject Classification: 34C12, 37B55, 92D30.

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