| 一类具有线性收获率的生物捕食系统的定性分析 |
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| 引用本文： | 何德明,何万生,谢保利.一类具有线性收获率的生物捕食系统的定性分析[J].纯粹数学与应用数学,2013(1):33-39. |
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| 作者姓名： | 何德明 何万生 谢保利 |
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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： | 甘肃省教育厅科研基金(0608-04);天水师范学院中青年教师科研项目(TSA0932) |
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| 摘 要： | 对一类两种群均有线性收获率的具HollingII类功能反应的食饵-捕食系统作定性分析,利用常微分方程定性,稳定性及分支理论,得到此类生物捕食系统的平衡点的性态和极限环的存在,不存在的条件,从而对更具一般性的一类具有非常数收获率的食饵-捕食系统作了较为全面的定性分析,补充完善了前人的结果.
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| 关 键 词： | 细焦点 极限环 存在 |
A qualitative analysis of a kind of food-predator systems with linear harvesting rates |
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| He Deming,He Wansheng,Xie Baoli.A qualitative analysis of a kind of food-predator systems with linear harvesting rates[J].Pure and Applied Mathematics,2013(1):33-39. |
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| Authors: | He Deming He Wansheng Xie Baoli |
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| Institution: | (School of Mathematics and Statistics Institute,Tianshui Normal University,Tianshui 741000,China) |
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| Abstract: | A qualitative analysis of a kind of food-predator systemes with Holling II functional resonse and linear harvesting rates is considered. By qualitative and stability theory of differential equations, the quality of the equilibrium is discussed,the Conditions of existence and nonexistence of the limit cycle in this system are obtained. A more comprehensive qualitative analysis of a more general kind of food-predator systemes with larvesting rates is considered, the conclusion is renewed. |
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| Keywords: | weak focus limit existence |
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