Dynamics of SVEIS epidemic model with distinct incidence

被引：10
作者：
Nyamoradi, N. [1 ]
Javidi, M. [2 ]
Ahmad, B. [3 ]
机构：
[1] Razi Univ, Fac Sci, Dept Math, Kermanshah 67149, Iran
[2] Univ Tabriz, Fac Math Sci, Tabriz, Iran
[3] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2015年 / 8卷 / 06期
关键词：
SVEIS epidemic model; diffusion; Turing bifurcation; stability; basic reproduction number; numerical simulation; STABILITY ANALYSIS; TEMPORARY IMMUNITY; POPULATION;
D O I：
10.1142/S179352451550076X
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we study the global dynamics of a SVEIS epidemic model with distinct incidence for exposed and infectives. The model is analyzed for stability and bifurcation behavior. To account for the realistic phenomenon of non-homogeneous mixing, the effect of diffusion on different population subclasses is considered. The diffusive model is analyzed using matrix stability theory and conditions for Turing bifurcation are derived. Numerical simulations support our analytical results on the dynamic behavior of the model.
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页数：19
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