Dynamical analysis of a fractional-order avian-human influenza epidemic model with logistic growth for avian population

被引：2
作者：
Ye, Xingyang [1 ]
Lin, Shimin [1 ]
Xu, Chuanju [2 ]
机构：
[1] Jimei Univ, Sch Sci, Xiamen, Peoples R China
[2] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
JOURNAL OF ALGORITHMS & COMPUTATIONAL TECHNOLOGY | 2020年 / 14卷 / 14期
关键词：
Avian influenza; fractional order differential equations; epidemic models; global asymptotic stability; SIMULATION; DIFFUSION;
D O I：
10.1177/1748302620966704
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, a fractional order avian-human influenza epidemic model with logistic growth for avian population is investigated. The dynamical behavior of this model is discussed. We first establish the existence, uniqueness, non-negativity and positive invariance of the solution. Then we analyze the existence of various equilibrium points, and some sufficient conditions are derived to ensure the global asymptotic stability of the disease free equilibrium point and endemic equilibrium point. Finally, we take some numerical simulations to validate the analytical results.
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页数：13
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