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《Journal of Beijing Jiaotong University》 2006-06
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Global Stability on Constant Equilibria of A SIRS Model with Diffusion Terms

SHI Rui-feng,LIU Ying-dong(School of Science,Beijing Jiaotong University,Beijing 100044,China)  
In this paper,we study a SIRS model,considering the birth and natural death of the population,with diffusion terms when the total population is taken to be constant.By constructing Liapunov functional we study the globally asymptotically stability of the nonnegative constant equilibria.
【Fund】: 国家自然科学基金资助项目(10401006);; 北京市自然科学基金资助项目(1052003)
【CateGory Index】: O175
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【Co-citations】
Chinese Journal Full-text Database 10 Hits
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4 XU Yan-li 1,2(1.Department of Mathematics and Computer Science,Hunan normal University,Changsha 410081,China;2.Department of Mathematics,Xiangnan University,Chenzhou 423000,China);Global Stability of SIQR Model with Vaccination,Quarantine and Non-linear Incidence Rate βSI/H+I[J];Journal of Xiangnan University;2009-02
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6 Qu Linbo Han Ruizhu (School of Economics and Management,Southeast University,Nanjing 210096);Analysis of biology dangerous source diffusing dynamics model in population migration[J];Journal of Southeast University(Natural Science Edition);2007-S2
7 XU Wen-xiong~1 ZHANG Tai-lei~2 XU Zong-ben~1 (1-School of Science,Xi'an Jiaotong University,Xi'an 710049;2-College of Mathematics and System Seciences,Xinjiang University,Urumqi 830046);Global Stability for a Non-linear High Dimensional Autonomous Differential System SEIQR Model in Epidemiology[J];Chinese Journal of Engineering Mathematics;2007-01
8 LIU Qi-ming1,YANG Su-min 2 (1-Basic Courses,Ordance Engineering College,Shijiazhuang 050003; 2-Department of Computer Engineering,Ordance Engineering College,Shijiazhuang 050003);Construction and Analysis of a Mathematical Model for the Computer Virus Propagation[J];Chinese Journal of Engineering Mathematics;2008-03
9 WEI Wei1,LIU Shao-ping2,SHU Yun-xing1(1.Dept.of Mathematics and Physics,Luoyang Institute of Science and Technology,Luoyang 471003,China;2.Dept.of Mathematics,Huazhong University of Science and Technology,Hubei Wuhan 430074,China);Qualitative Analyses of Pulse Vaccination in the SIR Epidemic Model with Vertical Transmission[J];College Mathematics;2008-03
10 LI Da-zhi(College of Sciences,Nantong University,Nantong 226007,China);Global stability for an Epidemic Model with Quarantine and Nonlinear Infectious Rate[J];College Mathematics;2009-01
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