GLOBAL STABILITY ANALYSIS OF A TWO-STRAIN EPIDEMIC MODEL WITH AWARENESS

被引：12

作者：

Baba, Isa Abdullahi ^{[1
]}

Hincal, Evren ^{[1
]}

Alsaadi, Sultan Hamed Khalifa ^{[1
]}

机构：

[1] Near East Univ TRNC, Dept Math, Mersin 10, Istanbul, Turkey

来源：

ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES | 2018年 / 19卷 / 02期

关键词：

two strain; global stability analysis; awareness; mutation; basic reproduction ratios;

D O I：

10.17654/DE019020083

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, an epidemic model consisting of two strains with awareness for each strain is studied. Four equilibrium points were obtained; disease free equilibrium, endemic with respect to strain 1, endemic with respect to strain 2, and endemic with respect to both strains. Lyapunov functions were used to conduct the global stability analysis of the equilibrium points. Two basic reproduction ratios R-1 and R-2 are found, and the global stability depends on their magnitude. If both are less than one, the two strains die out, and if both are greater than one, they persist. Epidemic occurs with respect to any strain with basic reproduction ratio greater than one. Numerical simulations were carried out to support the analytic results and to show the effect of awareness for strain 1 against strain 2 and the awareness for strain 2 against strain 1.

引用

页码：83 / 100

页数：18

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