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《Journal of Biomathematics》 2005-03
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Stability Analysis for some Epidemic Models with Nonlinear Infectious Force

CHEN Jun-jie (Department of Mathematics,Zhejiang University,Hangzhou Zhejiang 310029 China)  
This paper considers three epidemic models with constant immigration rate and nonlinear infectious force.They are SIRI model,differential susceptibility model of SIRI, and differential infectivity model of SIR.The basic reproduction numbers R_0 are identified.The disease-free equilibrium is globally stable if R_01 and endemic equilibrium is globally stable if it exists.For the first and the third model,it is also proved there exists an unique endemic equilibrium when R_01.
【Fund】: 浙江省教育厅科研项目资助
【CateGory Index】: R181.3;
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