捕食者染病且具有垂直传染的生态流行病模型的动力学研究
he dynamics of Eco-epidemiological model with disease and vertical infection in the Predator
建立并分析了一类疾病在捕食者中传播且具有垂直传染的生态流行病模型。讨论了系统解的有界性和各平衡点的存在性,应用Routh-Hurwitz判据得到平衡点局部渐进稳定的充分条件,并研究了平衡点的全局渐进稳定性,得到了食饵灭绝平衡点,无病平衡点和地方病平衡点全局稳定的充分条件。
In this paper,a predator-prey model of predator with disease and vertical transmission is formulated and analyzed.The boundness of solutions of the proposed system and the existence of equilibrium are studied, and the sufficient conditions of locally asymptotically stable of the equilibria are obtained by the Routh-Hurwitz criterion . The conditions of the extinction of prey,the extinction of disease and the disease persistence are obtained by analyzing the global stability of the equilibrium.
王文婷、李佳斌、李自珍
生物科学理论、生物科学方法生物科学研究方法、生物科学研究技术
生态流行病模型垂直传染局部渐进稳定全局稳定
Eco-epidemiological modelVertical infectionlocally asymptotically stableglobal stability
王文婷,李佳斌,李自珍.捕食者染病且具有垂直传染的生态流行病模型的动力学研究[EB/OL].(2009-09-22)[2025-08-16].http://www.paper.edu.cn/releasepaper/content/200909-580.点此复制
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