| 现实复杂情形下的SIRS型传染病模型及其控制策略 |
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| 引用本文： | 孙有发,郭旭冲,梁肖肖,刘彩燕,张成科.现实复杂情形下的SIRS型传染病模型及其控制策略[J].系统仿真学报,2010,22(1). |
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| 作者姓名： | 孙有发 郭旭冲 梁肖肖 刘彩燕 张成科 |
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| 作者单位： | 1. 广东工业大学管理学院,广州,510520
2. 广东工业大学经济与贸易学院,广州,510520 |
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| 基金项目： | 国家自然科学基金(70801019;70771029); 广东省自然科学基金(04009475); 广东省哲学社会科学“十一五”规划学科共建项目基金(06GO03); 广东工业大学博士项目启动基金(063032) |
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| 摘 要： | 研究现实复杂情形下(包含非线性传染率、有隔离措施、群外个体迁入、生育与死亡以及疾病可水平和垂直传播等)的SIRS型传染病模型。首先证明该传染病模型的无病平衡点与地方病平衡点的唯一存在性及渐近稳定性;然后从基本再生数以及折衷考虑人道主义、救治代价与疾病控制效果的原则,针对流行于人类的传染病,提出优先隔离染病个体、提高疾病治愈率以及控制传染病垂直传播的传染病综合控制策略;最后,数值仿真验证了模型的稳态特性以及综合控制策略的有效性。
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| 关 键 词： | 传染病模型 SIRS 隔离 迁入 垂直传播 控制策略 |
SIRS Epidemic Model under Real Complex Circumstances and Its Control Strategy |
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| SUN You-fa,GUO Xu-chong,LIANG Xiao-xiao,LIU Cai-yan,ZHANG Cheng-ke.SIRS Epidemic Model under Real Complex Circumstances and Its Control Strategy[J].Journal of System Simulation,2010,22(1). |
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| Authors: | SUN You-fa GUO Xu-chong LIANG Xiao-xiao LIU Cai-yan ZHANG Cheng-ke |
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| Institution: | SUN You-fa1,GUO Xu-chong1,LIANG Xiao-xiao1,LIU Cai-yan1,ZHANG Cheng-ke2(1.School of Management,Guangdong University of Technology,Guangzhou 510520,China,2.School of Economic , Trade,China) |
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| Abstract: | An SIRS infectious disease model under such real complex circumstances that the transmission rate of disease is non-linear;quarantine measures were partially taken for infectious individuals;immigrations,fertility and death of individuals were permitted;and finally diseases could be both directly and vertically transmitted,was studied.The disease-free and epidemic equilibriums were calculated and proved to be asymptotically stable with certain conditions.According to the basic reproductive number and a trad... |
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| Keywords: | epidemic models SIRS isolation immigration vertical infection control strategy |
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