变种群量的SIRS型传染病模型及控制策略

广东工业大学学报 ›› 2008, Vol. 25 ›› Issue (3): 31-35.

变种群量的SIRS型传染病模型及控制策略

广东工业大学经济管理学院；

出版日期:2008-07-01 发布日期:2008-07-01
基金资助:
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)

A SIRS Epidemic Model with Varying Population Size and Its Controlling Strategies

Faculty of Economics and Management,Guangdong University of Technology,Guangzhou 510520,China

Online:2008-07-01 Published:2008-07-01

摘要/Abstract

摘要： 研究含迁入、生育、死亡、垂直传播以及隔离干预情形下的变种群量SIRS型传染病模型及其控制策略.依据无病平衡点的全局渐近稳定性条件,得到优先强化隔离染病个体、限制易感群体流动与控制疾病垂直传播以及折衷考虑人道主义与无条件救治代价的传染病综合控制策略;数值仿真验证了策略的有效性. 更多还原

关键词: 传染病模型；垂直传播；数值仿真；

Abstract: 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 taki...

Key words: epidemic models； vertical infection； numerical simulation；

高京广；孙有发；张成科； . 变种群量的SIRS型传染病模型及控制策略[J]. 广东工业大学学报, 2008, 25(3): 31-35.

Gao Jing-guang,Sun You-fa,Zhang Cheng-ke. A SIRS Epidemic Model with Varying Population Size and Its Controlling Strategies[J]. Journal of Guangdong University of Technology, 2008, 25(3): 31-35.

参考文献

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[2] 李健全,张娟,马知恩. 一类带有一般接触率和常数输入的流行病模型的全局分析[J]. 应用数学和力学. 2004(04) [3] 陈军杰,潘国卫. 一个具暂时免疫且总人数可变的传染病动力学模型[J]. 生物数学学报. 2003(04)

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