Basic Reproduction Ratios for Almost Periodic Compartmental Epidemic Models

被引：38

作者：

Wang, Bin-Guo ^{[1
]}

Zhao, Xiao-Qiang ^{[2
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

[2] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2013年 / 25卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Almost periodicity; Compartmental models; Reproduction ratio; Skew-product semiflow; Threshold dynamics; VECTOR-BORNE DISEASES; THRESHOLD; DYNAMICS; NUMBER;

D O I：

10.1007/s10884-013-9304-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The theory of the basic reproduction ratio and its computation formulae for almost periodic compartmental epidemic models are established. It is shown that the disease-free almost periodic solution is stable if , and unstable if . We also apply the developed theory to a patchy model with almost periodic population dispersal and disease transmission coefficients to obtain a threshold type result for uniform persistence and global extinction of the disease.

引用

页码：535 / 562

页数：28

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