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《Mathematics in Practice and Theory》 2007-24
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Analysis of an Epidemic Model with Time Delay

WEI Hui-ming1,2, WU Jin-gang2 (1.State Key Laboratory of Multiphase Flow in Power Engineering,Xi′an Jiaotong University, Xi′an 710049,China)(2.Department of Mathematics,Xinyang Normal University,Xinyang 464000,China)  
An SEIS epidemic model with time delay is discussed in this paper,the basic reproduction number R0 is obtained for the epidemic model.The equilibrium and stability are also discussed in this paper.The epidemic model is a differential equation with fixed time delay.The equilibria are decided by R0.Only the disease-free equilibrium arises when R01,and the disease-free equilibrium is globally asymptotic stability.The endemic equilibrium arises when R01,and the endemic equilibrium is absolutely stability.The results above are proved in this paper.
【CateGory Index】: O193
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