| 具有比率依赖的三种群生态-流行病模型的稳定性研究 |
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| 引用本文： | 黄友霞,王辉,汪洋.具有比率依赖的三种群生态-流行病模型的稳定性研究[J].北京工商大学学报(自然科学版),2007,25(2):75-79. |
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| 作者姓名： | 黄友霞 王辉 汪洋 |
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| 作者单位： | 1. 北京科技大学,应用科学学院数力系,北京,100083
2. 中国地质大学,土科系,北京,100083 |
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| 摘 要： | 建立了捕食者捕获食饵易感者的食饵染病的生态-流行病模型,讨论了系统的非负不变性、解的有界性;得到了系统平衡点局部渐进稳定的充分条件;研究了边界平衡点的全局稳定性,并利用图形进行了模拟.
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| 关 键 词： | 生态-流行病模型 正不变集 平衡点 渐进稳定 |
| 文章编号： | 1671-1513（2007）02-0075-05 |
| 收稿时间： | 2006-12-10 |
| 修稿时间： | 2006年12月10日 |
STUDY ON STABILITY OF A RATIO-DEPENDENT THREE SPECIES ECO-EPIDEMIOLOGICAL MODEL |
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| HUANG You-xia,WANG Hui,WANG Yang.STUDY ON STABILITY OF A RATIO-DEPENDENT THREE SPECIES ECO-EPIDEMIOLOGICAL MODEL[J].Journal of Beijing Technology and Business University:Natural Science Edition,2007,25(2):75-79. |
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| Authors: | HUANG You-xia WANG Hui WANG Yang |
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| Institution: | 1. Department of Mathematics and Mechanics of Applied Science School, Beijing University of Science and Technology, Beijing 100083, China ; 2. Department of Land Science and Technology, China University of Geosciences, Beijing 100083, China |
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| Abstract: | A predator-prey model with disease in the prey is formulated,in which only the susceptible prey is predated.The invariance of non-negativity and boundless of solution are analyzed.The sufficient condition of locally asymptotically stable of the equilibrium is obtained.Furthermore,the global asymptotically stability of the boundary equilibrium is studied,and a numerical simulation is then presented. |
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| Keywords: | eco-epidemiological model positively invariant set equilibrium asymptotic stability |
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