| 一类具有收获率互惠系统的稳定性及Hopf分岔 |
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| 引用本文： | 陈红兵.一类具有收获率互惠系统的稳定性及Hopf分岔[J].中山大学学报(自然科学版),2013,52(1):45-50. |
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| 作者姓名： | 陈红兵 |
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| 作者单位： | 天水师范学院数学与统计学院,甘肃天水,741001 |
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| 基金项目： | 甘肃省自然科学基金资助项目(096RJZE106) |
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| 摘 要： | 首先建立了一类具有时滞的互惠模型，该模型具有HollingⅡ功能。接着研究了该模型的稳定性，及Hopf分岔和分岔周期解的稳定性。最后举例论证。
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| 关 键 词： | 时滞 稳定性 平衡点 Hopf分岔 |
| 收稿时间： | 2012-07-09; |
The Hopf Bifurcation and Stability of Cooperate System with Rate Harvesting |
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| CHEN Hongbing.The Hopf Bifurcation and Stability of Cooperate System with Rate Harvesting[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2013,52(1):45-50. |
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| Authors: | CHEN Hongbing |
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| Institution: | CHEN Hongbing(School of Mathematics and Statistics,Tianshui Normal University,Tianshui 741001,China) |
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| Abstract: | A cooperate model with Holling Ⅱ functional response is established. And, the stability of this model and the Hopf bifurcation is investigated. An example shows the feasibility of the results. |
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| Keywords: | time delay stability equilibrium point Hopf bifurcation |
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