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捕食者具有流行病的捕食-被捕食(SI)模型的分析 被引量:51

On the Analysis of Predator-Prey Model with Epidemic in the Predator
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摘要 建立并分析了捕食者具有疾病的生态-流行病(SI)模型,讨论解的有界性,得到了平衡点局部渐近稳定的充分条件,进一步,分析了平衡点的全局稳定性,得到了捕食者绝灭和疾病成为地方病的充分条件. In this paper, we formulate and analyze predator-prey model of predator with epidemic, study boundness of solution and obtain the sufficient condition of locally asymptotically stable of the equilibria, futhermore, analyze the globle stability of the equilibria, obtain the sufficient condition of predator extincting and disease persistence.
出处 《生物数学学报》 CSCD 北大核心 2006年第1期97-104,共8页 Journal of Biomathematics
基金 山西省青年科技研究基金资助项目(20021004)
关键词 生态-流行病模型 渐近稳定 永久持续生存 传染病 Predator-prey model Asymptotical stable Permanence Epidemic
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参考文献7

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