Threshold Dynamics for A Hand, Foot and Mouth Disease Model

被引：0

作者：

Huang, Yingfen ^{[1
]}

Liu, Junli ^{[1
]}

机构：

[1] Xi An Jiao Tong Univ, Dept Math, Xian 710049, Peoples R China

来源：

PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II | 2010年

关键词：

HFMD; stability; permanence; Hopf bifurcation;

D O I：

暂无

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We established an epidemic model of HFMD, which detailed the interaction of the children and the adults in transmitting the HFMD disease. We obtained the basic reproduction number which governs the stability of the disease-free equilibrium and the endemic equilibria. Applying Routh-Hurwitz criteria and LaSalle-Lyapunov Theorem, we obtained the global stability of the disease-free equilibrium and the endemic equilibria, meanwhile we obtained the existence of the periodic solutions arising by Hopf bifurcation around these endemic equilibria, which revealed that the exposed adults who are infected by HFMD virus whereas remaining asymptomatic also have significant effects on disease transmission.

引用

页码：114 / 120

页数：7

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