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A Qualitative Analysis of an Epidemic Model with Bilinear Incidence Rat

GUO Jin-sheng1,2,LI Xiao-yan3(1.College of Mathematics,Physics & Software Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China;2.Department of Mathematics,Hexi University,Zhangye 734000,China;3.Department of Mathematics,Lanzhou City University,Lanzhou 730070,China)  
An epidemic model with bilinear incidence rat is investigated in this paper.The threshold of endemic equilibriums is found.By means of constructing Liapunov function,the necessary and sufficient condition which guarantees the global asymptotic stability is obtained.
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