| 食饵有病的生态-流行病模型的稳定性研究 |
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| 引用本文： | 黄友霞,王辉,苏丹丹.食饵有病的生态-流行病模型的稳定性研究[J].生物数学学报,2008,23(1):132-138. |
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| 作者姓名： | 黄友霞 王辉 苏丹丹 |
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| 作者单位： | 1. 北京科技大学,数力系,北京,100083
2. 四川师范大学,数学与软件科学学院,四川,成都610068 |
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| 摘 要： | 在考虑捕食者捕食染病的食饵对自身的不利作用的基础上建立了食饵有病的生态-流行病模型，得到了系统平衡点局部渐近稳定的充分条件；讨论了系统的非负不变性、解的有界性，并在此基础上研究了边界平衡点的全局稳定性，得到了平衡点全局稳定的充分条件。
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| 关 键 词： | 生态-流行病模型 负面效应 平衡点 渐近稳定 |
| 文章编号： | 1001-9626(2008)01-0132-07 |
| 修稿时间： | 2006年3月4日 |
Study on the Stability of an Eco-Epidemiological Model with Disease in the Prey |
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| HUANG You-xia,WANG Hui,SU Dan-dan.Study on the Stability of an Eco-Epidemiological Model with Disease in the Prey[J].Journal of Biomathematics,2008,23(1):132-138. |
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| Authors: | HUANG You-xia WANG Hui SU Dan-dan |
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| Institution: | HUANG You-xia1,WANG Hui1, SU Dan-dan2(1.Departrment of Mathematics and Mechanics of Beijing University of Science and Technology, Beijing 100083 China;2.Sichuan Normal University Mathematics ＆ Software Insitute, Chengdu Sichuan 610068 China) |
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| Abstract: | Considering the adversity of predating the infected prey for predator, we for-mulate a predator-prey model with disease in the prey. The sufficient condition of locally asymp- totically stable of the equilibrium is obtained. The invariance of non-negativity and boundness of solution are analyzed. Furthermore, the global asymptotic stability of the boundary equilibrium is studied, and the sufficient condition of global asymptotic stable is also obtained. |
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| Keywords: | Eco-epidemiological model Adversity Equilibrium asymptotic stability |
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