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《Journal of Guangdong University of Technology》 2008-03
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A SIRS Epidemic Model with Varying Population Size and Its Controlling Strategies

Gao Jing-guang,Sun You-fa,Zhang Cheng-ke(Faculty of Economics and Management,Guangdong University of Technology,Guangzhou 510520,China)  
A SIRS infectious disease model with immigration,birth and death,vertical transmission,and isolation,is studied.According to the global asymptotical stability conditions of the disease-free equilibrium,the integrated strategy for controlling the disease—first isolating the infected individuals,then limiting the liquidity of the susceptible and controlling the vertical transmission,and at last making a tradeoff between annihilating the disease with no terms and the underlying expenses before taking any measures,is derived.Finally,the effectiveness of the controlling strategy is validated by the numerical simulations.
【Fund】: 国家自然科学基金资助项目(70771029);; 广东省自然科学基金资助项目(07001795);; 广东省哲学社会科学“十一五”规划学科共建项目(06GO03);; 广东工业大学博士启动基金资助项目(063032)
【CateGory Index】: R183
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Chinese Journal Full-text Database 3 Hits
1 ZHANG Shuang-de~1, ZHANG Xi-hong~2, HAO Hai~1(1.Basic Department, Chinese People's Armed Police Forces Medical College, Tianjin 300162,China;2.Basic Department, Changzhi Medical College,Changzhi 046000,China);A SIRS Infections Disease Model with Stage-Structure and Isolation[J];Journal of Jiangxi Normal University (Natural Sciences Edition);2005-04
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1 ZHANG Ping1, 2, 3, ZHANG Bai1, Peter M. ATKINSON4 (1. Northeast Institute of Geography and Agricultural Ecology, CAS, Changchun 130012, China; 2. Graduate School of the Chinese Academy of Sciences, Beijing 100039, China; 3. Geo-Exploration Science & Technology College, Jilin University, Changchun 130026, China; 4. Department of Geography, University of Southampton, Southampton SO17 1BJ, UK);Modelling Framework on Urbanization's Effect on the Infectious Disease Transmission: A Case Study on Southampton of UK[J];Acta Geographica Sinica;2007-02
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