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Title of Journal: J Dyn Diff Equat

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Abbravation: Journal of Dynamics and Differential Equations

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Springer US

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10.1002/chin.200005175

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1572-9222

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Basic Reproduction Ratios for Periodic Compartment

Authors: XiaoQiang Zhao
Publish Date: 2015/01/21
Volume: 29, Issue: 1, Pages: 67-82
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Abstract

In this paper we establish the theory of basic reproduction ratio R 0 for a large class of timedelayed compartmental population models in a periodic environment It is proved that R 0 serves as a threshold value for the stability of the zero solution of the associated periodic linear systems As an illustrative example we also apply the developed theory to a periodic SEIR model with an incubation period and obtain a threshold result on its global dynamics in terms of R 0


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