| 一类捕食者和食饵都染病的四维生态-传染病模型的稳定性 |
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| 引用本文： | 李飞飞,刘宣亮.一类捕食者和食饵都染病的四维生态-传染病模型的稳定性[J].北华大学学报(自然科学版),2011(2):144-148. |
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| 作者姓名： | 李飞飞 刘宣亮 |
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| 作者单位： | 华南理工大学理学院; |
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| 基金项目： | 国家自然科学基金项目(10871074) |
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| 摘 要： | 研究了一类具有非线性发生率的四维生态-传染病模型,讨论了该模型的平衡点的存在条件,并对边界平衡点的局部稳定性进行分析,最后通过构造Lyapunov泛函得到了正平衡点全局稳定的充分条件.
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| 关 键 词： | 生态-传染病模型 Lyapunov泛函 全局稳定性 |
Stability of a Four Dimensional Eco-Epidemiological Model with Disease in the Prey and Predator |
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| LI Fei-fei,LIU Xuan-liang.Stability of a Four Dimensional Eco-Epidemiological Model with Disease in the Prey and Predator[J].Journal of Beihua University(Natural Science),2011(2):144-148. |
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| Authors: | LI Fei-fei LIU Xuan-liang |
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| Institution: | LI Fei-fei,LIU Xuan-liang (Mathematics College of South China University of Technology,Guangzhou 510640,China) |
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| Abstract: | A four dimensional eco-epidemiological model with nonlinear incidence rate is studied.The existence condition of the equilibria is discussed and the locally asymptotical stability of the equilibria is analyzed,then a sufficient condition for global stability of the positive equilibria is obtained by constructing appropriate Lyapunov function. |
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| Keywords: | eco-epidemiological model Lyapunov function global stability |
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