流行病模型
入射(几何)
人口
人口学
医学
传输(电信)
疾病
传染病(医学专业)
计量经济学
统计
2019年冠状病毒病(COVID-19)
人类免疫缺陷病毒(HIV)
作者
Xia Wang,Yuming Chen,Shengqiang Liu
出处
期刊:Computational & Applied Mathematics
[Springer Nature]
日期:2018-09-01
卷期号:37 (4): 4055-4080
被引量:8
标识
DOI:10.1007/s40314-017-0560-8
摘要
A vector-borne disease model with general incidence rates is proposed and investigated in this paper, where both vector and host are stratified by infection ages in the form of a hyperbolic system of partial differential equations coupled with ordinary differential equations. The existence, uniqueness, nonnegativeness, and boundedness of solution of the model are studied for biologically reasonable purpose. Furthermore, a global threshold dynamics of the system is established by constructing suitable Lyapunov functionals, which is determined by the basic reproduction number $$\mathcal {R}_0$$
: the infection-free equilibrium is globally asymptotically stable when $$\mathcal {R}_0<1$$
while the endemic equilibrium is globally asymptotically stable when $$\mathcal {R}_0>1$$
.
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