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《Chinese Journal of Engineering Mathematics》 2005-04
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The Global Analysis of Two Epidemic Models with Nonlinear Incidence Rate

WANG La-di (Department of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030006)  
Two epidemic models with nonlinear incidence rate are investigated. The thresholds of endemic equilibria are found. By constructing Dulac function and Liapunov functions, the necessary and sufficient conditions ensuring the global asymptotic stability of equilibriums are obtained.
【Fund】: 山西省高校科技开发资助(2003086).
【CateGory Index】: R181.3
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1 JIN Zhen1,MA Zhien2,YUAN Sanling2(1Department of Mathematics, North china Institute of Technology, Taiyuan, 030051;2Department of Mathematics, Xi'an Jiaotong University, Xi'an710049);A SIR Epidemic Model with Varying Population Size[J];Chinese Journal of Engineering Mathematics;2003-03
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【Co-citations】
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1 WANG He-qiao,ZHOU Yan-li,WANG Mei-juan,XU Chang-yong (College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China);SIQR epidemical model with continuous vaccinal immunity and bilinear incidence rates[J];Journal of University of Shanghai for Science and Technology;2007-02
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【Secondary References】
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