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GLOBAL STABILITY OF SIRS EPIDEMIC MODELS WITH A CLASS OF NONLINEAR INCIDENCE RATES AND DISTRIBUTED DELAYS*
作者姓名:Yoichi Enatsu  Yukihiko Nakata  Yoshiaki Muroya
作者单位:Department of Pure and Applied Mathematics,Waseda University,3-4-1 Ohkubo,Shinjuku-ku,Tokyo,169-8555,Japan;Basque Center for Applied Mathematics,Mazarredo,14 E-48009 Bilbao,Spain;Department of Mathematics,Waseda University 3-4-1 Ohkubo,Shinjuku-ku,Tokyo 169-8555,Japan
基金项目:The authors' work was supported in part by JSPS Fellows, No.237213 of Japan Society for the Promotion of Science to the first author, by the Grant MTM2010- 18318 of the MICINN, Spanish Ministry of Science and Innovation to the second author, and by Scientific Research (c), No.21540230 of Japan Society for the Promotion of Science to the third author.
摘    要:In this article,we establish the global asymptotic stability of a disease-free equilibrium and an endemic equilibrium of an SIRS epidemic model with a class of nonlinear incidence rates and distributed...

关 键 词:SIRS epidemic model  nonlinear incidence rate  global asymptotic stability  distributed delays  Lyapunov functional
收稿时间:2009-11-18
修稿时间:2011-01-23
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