| 具有时滞和功能性反应的捕食系统的定性分析 |
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| 引用本文： | 张雷. 具有时滞和功能性反应的捕食系统的定性分析[J]. 科学技术与工程, 2011, 11(24): 5741-5743 |
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| 作者姓名： | 张雷 |
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| 作者单位： | 无锡工艺职业技术学院基础部,宜兴,214206 |
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| 摘 要： | 研究了一类具有时滞和功能性反应函数的捕食系统。利用常微分方程定性理论和稳定性理论的方法,得到无时滞时正平衡点全局稳定及极限环存在的充分条件,并讨论了时滞时Hopf分支的存在性。
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| 关 键 词： | 时滞 功能性反应 全局稳定性 Hopf分支 |
| 收稿时间： | 2011-05-16 |
| 修稿时间： | 2011-05-16 |
Qualitative Analysis of a Predator- prey System with Delay and Functional Response |
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| zhanglei. Qualitative Analysis of a Predator- prey System with Delay and Functional Response[J]. Science Technology and Engineering, 2011, 11(24): 5741-5743 |
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| Authors: | zhanglei |
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| Affiliation: | ZHANG Lei (Basical Department,Wuxi Institute of Arts &.Technology,Yixing 214206,P.R.China) |
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| Abstract: | A predator-prey system with delay and functional response is studied.By using analysis methods of qualitative theory and stability theory of ordinary differential equations,some sufficient conditions of the global stability of positive equilibrium point and the existence of limit cycle are obtained when no time delay,and the existence of Hopf bifurcation is discussed when time delay. |
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| Keywords: | delay functional response global stability Hopf bifurcation |
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