| 具常数投放率功能反应为／x的食饵-捕食系统的定性分析 |
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| 引用本文： | 杨春霞,王辉,胡志兴.具常数投放率功能反应为／x的食饵-捕食系统的定性分析[J].生物数学学报,2010(1):97-103. |
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| 作者姓名： | 杨春霞 王辉 胡志兴 |
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| 作者单位： | 北京科技大学应用学院数力系; |
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| 基金项目： | 国家自然科学基金资助项目(10671011) |
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| 摘 要： | 本文研究一类具有常数投放率的食饵-捕食系统的定性行为，得到了正平衡点全局渐近稳定以及在正平衡点周围存在唯一极限环的充分条件．利用数值模拟检验了结论．
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| 关 键 词： | 投放率 食饵-捕食系统 全局渐近稳定 极限环 |
On Qualitative Analysis of Predator-Prey System with Sparse Effect |
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| YANG Chun-xia WANG Hui HU Zhi-xing.On Qualitative Analysis of Predator-Prey System with Sparse Effect[J].Journal of Biomathematics,2010(1):97-103. |
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| Authors: | YANG Chun-xia WANG Hui HU Zhi-xing |
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| Institution: | YANG Chun-xia WANG Hui HU Zhi-xing (Dpartment of Mathematics , Mechanics,School of Applied Science University of Science , Technology Beijing,Beijing 100083 China) |
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| Abstract: | In this paper,qualitative behavior for predator-prey system with constant rate stocking by functional effect is discussed.The sufficient conditions that the global asymptotic stability of the positive equilibrium point and the existence uniqueness of the limit cycle around the positive equilibrium point are obtained.At the same time,some results were proved with the technology of numerical simulation. |
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| Keywords: | Constant rate stocking Prey-predator system Global asymptotic stability Limit cycle |
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