| 一类具有Leslie形式的捕食系统传染病模型 |
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| 引用本文： | 焦守文,张凤琴. 一类具有Leslie形式的捕食系统传染病模型[J]. 太原师范学院学报(自然科学版), 2011, 10(1): 1-6 |
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| 作者姓名： | 焦守文 张凤琴 |
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| 作者单位： | 1. 中北大学理学院,山西太原,030051
2. 运城学院应用数学系,山西运城,044000 |
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| 基金项目： | 国家自然科学基金项目(11071283); 山西省自然科学基金项目(2009011005-3); 山西省重点扶持学科项目(20091028); 山西省高等学校科技研究开发项目(20091149); 运城学院院级科研项目(YQ-2010004) |
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| 摘 要： | 讨论了一类具有Leslie形式且捕食带有寄生虫感染的捕食系统,得到了该系统持续生存在的条件,给出了系统平衡点局部渐近稳定的条件,并分析了相应的时滞捕食系统正平衡点局部Hopf分支存在的条件.
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| 关 键 词： | 捕食系统 寄生虫 传染病 稳定性 持续生存 时滞 Hopf分支 |
A Prey-Predator Eqidemic Model With Leslie Type |
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| Jiao Shouwen,Zhang Fengqin. A Prey-Predator Eqidemic Model With Leslie Type[J]. Journal of Taiyuan Normal University:Natural Science Edition, 2011, 10(1): 1-6 |
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| Authors: | Jiao Shouwen Zhang Fengqin |
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| Affiliation: | Jiao Shouwen1 Zhang Fengqin2(1.Department of Mathematics,North University of China,Taiyuan 030051,2.Department of Applied Mathematics,Yuncheng University,Yuncheng 044000,China) |
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| Abstract: | We mainly study the dynamical behaviors of a predator-prey system with Leslic type and predators infected by microparasitc.We prove the persistent existence of the system and conclude the sufficent condisions of local asymptotically stability about equilibriums.It is found that there is stability switch for time delay,and Hopf bifurcation occurs when time delay crosses through a critical value. |
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| Keywords: | predator-prey system microparasite epidemic persistent existence stability time delay Hopf bifurcation |
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