A TWO-GROUP AGE OF INFECTION EPIDEMIC MODEL WITH PERIODIC BEHAVIORAL CHANGES

被引：1

作者：

Diagne, Mamadou L. ^{[1
]}

Seydi, Ousmane ^{[2
]}

Sy, Aissata A. B. ^{[1
]}

机构：

[1] Univ Thies, Thies, Senegal

[2] Polytech Sch Thies, Thies, Senegal

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2020年 / 25卷 / 06期

关键词：

Age of infection; periodic solution; uniform persistence; global stability; coexistence; THRESHOLD DYNAMICS; CAUCHY-PROBLEMS; POPULATIONS; DISEASES;

D O I：

10.3934/dcdsb.2019202

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we propose a two-group SIR age of infection epidemic model by incorporating periodical behavioral changes for both susceptible and infected individuals. Our model allows different incubation periods for the two groups. It is proved in this paper that the persistence and extinction of the disease are determined by a threshold condition given in term of the basic reproductive number R-0 . That is, the disease is uniformly persistent if R-0 > 1 with the existence of a positive periodic solution, while the disease goes to extinction if R-0 < 1 with the global asymptotic stability of the disease free periodic solution. The model we have proposed is general and can be applied to a wide class of diseases.

引用

页码：2057 / 2092

页数：36

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[2]

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[3]

[Anonymous], 1990, Differential and Integral Equations

[4]

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