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ANALYSIS OF AN SI EPIDEMIC MODEL WITH NONLINEAR TRANSMISSION AND STAGE STRUCTURE
Authors:Lu ZhonghuaSuper-computing Center of Computer Network Information Center  Chinese Academy of Sciences  Beijing   China  E-mail:zhlu@jupiter.cnc.ac.cnGao Shujing
Affiliation:Lu Zhonghua Super-computing Center of Computer Network Information Center,Chinese Academy of Sciences,Beijing 100080,China,E-mail:zhlu@jupiter.cnc.ac.cn Gao Shujing Department of Mathematics,Guangzhou University,Guangzhou 510405,China,E-mail:gaosjmath@163.net Chen Lansun Institute of Mathematics,Academy of Mathematics & System Sciences,Academia Sinica,Beijing 100080,China,E-mail:lschen@math08.math.ac.cn
Abstract:A disease transmission model of SI type with stage structure is formulated. The stability of disease free equilibrium, the existence and uniqueness of an endemic equilibrium, the existence of a global attractor are investigated.
Keywords:SI epidemic model   threshold   disease free equilibrium   endemic equilibrium   global attractor
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