| 一个疾病在捕食者中传播的捕食与被捕食模型的分析 |
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| 引用本文： | 张永坡,王辉. 一个疾病在捕食者中传播的捕食与被捕食模型的分析[J]. 北京工商大学学报(自然科学版), 2007, 25(4): 71-74,79 |
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| 作者姓名： | 张永坡 王辉 |
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| 作者单位： | 北京科技大学,应用科学学院,北京,100083 |
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| 摘 要： | 建立并分析了一个疾病在捕食者中传播的捕食与被捕食模型.并且,应用特征根法得到了平衡点的局部渐近稳定的充分条件.分析了其中平衡点的全局稳定性,得到了边界平衡点和正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 局部渐近稳定 全局稳定 |
| 文章编号： | 1671-1513（2007）04-0071-04 |
| 收稿时间： | 2007-01-11 |
| 修稿时间： | 2007-01-11 |
ANALYSIS OF A PREDATOR-PREY MODEL WITH EPIDEMIC IN PREDATOR |
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| ZHANG Yong-po,WANG Hui. ANALYSIS OF A PREDATOR-PREY MODEL WITH EPIDEMIC IN PREDATOR[J]. Journal of Beijing Technology and Business University:Natural Science Edition, 2007, 25(4): 71-74,79 |
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| Authors: | ZHANG Yong-po WANG Hui |
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| Affiliation: | School of Applied Science, University of Science and Technology Beijing, Beijing 100083, China |
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| Abstract: | In this paper we formulated and analyzed a predator-prey model with Epidemic in the Predator, and the sufficient condition of the local asymptotical stability of the equilibrium was studied with the method of latent root, furthermore, analyze the global asymptotical stability of the boundary equilibriums, and the local asymptotical stability the sufficient condition of their stability were of the positive equilibrium were analyzed, and together also obtained. |
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| Keywords: | ecology-epidemic disease model locally asymptotical stability global asymptotical stability |
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