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《Journal of Huaihai Institute of Technology(Natural Sciences Edition)》 2007-03
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Stable Solution to an Epidemic Model with Constant Contact

ZHU Tong-fu1,TIAN Can-rong2,LIN Zhi-gui3(1.Dept.of Basic Science Subjects,Lianyungang College of Vocational Technology,Lianyungang 222006,China;2.Dept.of Basic Science,Yancheng Institute of Technology,Yancheng 222005,China)3.College of Math,Yangzhou University,Yangzhou 225002,China)  
Researches on epidemic dynamics,which are of great practical significance,are receiving an ever-increasingly attention from people of different walks.In this paper,an epidemic model with constant contact is approached by the upper-and-lower solution method to discuss the asymptotic behaviors of disease-free equilibrium and endemic equilibrium.Sufficient conditions for the system to have a semi-positive globally asymptotically stable solution are obtained.
【Fund】: 国家自然科学基金资助项目(10671172)
【CateGory Index】: O175
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