| 具有时滞的生态-流行病SIS模型的分析 |
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| 引用本文： | 李爽,王小攀.具有时滞的生态-流行病SIS模型的分析[J].平原大学学报,2009(1). |
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| 作者姓名： | 李爽 王小攀 |
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| 作者单位： | 新乡学院数学系;河南师范大学新联学院; |
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| 摘 要： | 考虑了一类捕食者种群染病的捕食-被捕食模型,讨论了正平衡位置的局部稳定性,证明了时滞对正平衡位置稳定性的影响,以及当条件改变时系统在该点处会发生Hopf分支现象。
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| 关 键 词： | 捕食-被捕食模型 局部稳定性 Hopf分支 |
Analysis on Eco-epidemiological SIS Model with Delays |
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| LI Shuang,WANG Xiao-pan.Analysis on Eco-epidemiological SIS Model with Delays[J].Journal of Pingyuan University,2009(1). |
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| Authors: | LI Shuang WANG Xiao-pan |
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| Institution: | 1.Department of Mathematics.Xinxiang University;Xinxiang 453003;China2.College of Xinlian;Henan Normal University;Xinxiang 453007;China |
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| Abstract: | A system of functional differential equations is proposed as a predator-prey model with disease in the predator.We discuss the local stability of the positive equilibrium and show that the influence of time delays on the stability of the positive equilibrium and derive that the system may have Hopf bifurcation as the conditions vary. |
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| Keywords: | predator-prey model local stability Hopf bifurcation |
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