Threshold dynamics for a HFMD epidemic model with periodic transmission rate

被引：52

作者：

Liu, Junli ^{[1
]}

机构：

[1] Xian Polytech Univ, Sch Sci, Xian 710048, Peoples R China

来源：

NONLINEAR DYNAMICS | 2011年 / 64卷 / 1-2期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

HFMD; Quarantine; Stability; Periodic solutions; Uniform persistence;

D O I：

10.1007/s11071-010-9848-6

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, a periodic epidemic model is proposed in order to simulate the dynamics of HFMD transmission. We consider the effects of quarantine in the children population. We obtain a threshold value which determines the extinction and uniform persistence of the disease. Our results show that the disease-free equilibrium is globally asymptotically stable if the threshold value is less than unity. Otherwise, the system has a positive periodic solution and the disease persists. Numerical simulations show that quarantine has a positive impact on the spread of disease, i.e., quarantine is beneficial to the intervention and control of the disease outbreak in the children population.

引用

页码：89 / 95

页数：7