| 一类功能性反应模型在常数收获下的动态特性 |
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| 引用本文： | 张悦,荆海英.一类功能性反应模型在常数收获下的动态特性[J].生物数学学报,2005,20(4):406-412. |
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| 作者姓名： | 张悦 荆海英 |
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| 作者单位： | 东北大学,理学院,辽宁,沈阳,110004 |
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| 基金项目： | 国家自然科学基金资助项目（70271066） |
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| 摘 要： | 具有功能性反应的捕食与被捕食模型具有非常复杂的动态性质．特别是在常数收获下，该模型呈现了各种各样、纷杂多变的动态特性。其中包括正平衡点及其稳定性的变化、各种分叉的产生以及周期解和极限环的出现．本文重点研究了常数收获项对一类功能性反应模型的动态性能的影响，得到了该收获模型存在稳定正平衡点、产生分叉以及在Hopf分叉附近产生周期解和极限环的若干充分条件．
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| 关 键 词： | 功能性反应模型 平衡点 稳定性 分叉 周期解 极限环 |
| 文章编号： | 1001-9626（2005）04-0406-07 |
| 收稿时间： | 2003-03-20 |
| 修稿时间： | 2003-10-12 |
The Dynamical Characteristic of a Functional Response Model with Constant Harvest |
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| ZHANG Yue,JING Hai-ying.The Dynamical Characteristic of a Functional Response Model with Constant Harvest[J].Journal of Biomathematics,2005,20(4):406-412. |
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| Authors: | ZHANG Yue JING Hai-ying |
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| Institution: | Science College, Northeastern University, Shenyang Liaoning 110004 China |
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| Abstract: | The predator-prey model with a functional response has very complicated dynamic properties. Especially under some constant harvest, this model displays various complicated dynamic feature, including changes of the positive equilibrium and stability, as well as emergence of bifurcation, periodic solutions and limit cycles. In this paper, we mainly study the effect of constant harvest on the dynamical characteristic for such model, obtain some conditions for such model to have stable positive equilibrium, bifurcation, periodic solutions and limit cycles. |
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| Keywords: | Functional response model Equilibrium Stability Bifurcation Periodic solutions Limit cycles |
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