An SIR Epidemic Model with Time Delay and General Nonlinear Incidence Rate

被引：16
|
作者：
Li, Mingming [1 ]
Liu, Xianning [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Minist Educ, Key Lab Ecoenvironm Three Gorges Reservoir Reg, Chongqing 400715, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
DENSITY-DEPENDENT BIRTH; GLOBAL STABILITY; LYAPUNOV FUNCTIONS; BIFURCATION;
D O I：
10.1155/2014/131257
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An SIR epidemic model with nonlinear incidence rate and time delay is investigated. The disease transmission function and the rate that infected individuals recovered from the infected compartment are assumed to be governed by general functions F(S, I) and G(I), respectively. By constructing Lyapunov functionals and using the Lyapunov-LaSalle invariance principle, the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium is obtained. It is shown that the global properties of the system depend on both the properties of these general functions and the basic reproductive number R-0.
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页数：7
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