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《Journal of Nantong University(Natural Science)》 2007-03
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Global Stability of a Class of Infectious Disease Models with Nonlifelong Immunity

SUO Shu-wen,GUO Xiao-jun,LI Da-zhi(School of Sciences,Nantong University,Nantong 226007,China)  
A class of infectious disease models with nonlifelong immunity and vaccinal immunity are analyzed in this paper.The threshold R0 is obtained,which determines the existence of an infectious disease.When R0≤1,there only exists disease free equilibrium point E0′,which is globally asymptotically stable.When R 1,there exist two equilibrium points,the disease free equilibrium point E0′ which is unstable and the endemic equilibrium point which is globally asymptotically stable.
【Fund】: 南通大学自然科学基金资助项目(06Z008)
【CateGory Index】: O193
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