| 一类具常数放养的非线性密度制约和功能反应的捕-食系统的定性分析 |
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| 引用本文： | 冯光庭. 一类具常数放养的非线性密度制约和功能反应的捕-食系统的定性分析[J]. 湖北大学学报(自然科学版), 2012, 34(2): 218-221 |
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| 作者姓名： | 冯光庭 |
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| 作者单位： | 湖北第二师范学院数学与数量经济学院,湖北武汉,430205 |
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| 基金项目： | 湖北省教育厅科学技术重点研究项目 |
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| 摘 要： | 利用微分方程定性理论研究一类具有常数放养的非线性密度制约和功能反应的捕食模型,找出其平衡点存在的条件及局部稳定性态,同时给出正平衡点全局渐进稳定和存在唯一极限环的充分必要条件,并剖析其生物学意义.
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| 关 键 词： | 非线性密度制约 功能反应 平衡点 极限环 |
Qualitative analysis of a predator-prey system with constant-rate grazing prey species ,nonlinear density dependence and functional response |
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| FENG Guangting. Qualitative analysis of a predator-prey system with constant-rate grazing prey species ,nonlinear density dependence and functional response[J]. Journal of Hubei University(Natural Science Edition), 2012, 34(2): 218-221 |
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| Authors: | FENG Guangting |
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| Affiliation: | FENG Guangting(School of Mathematics and Quantitative Economics,Hubei University of Education,Wuhan 430205,China) |
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| Abstract: | Based on the qualitative theory of ordinary differential equations,it researched the predator-prey system with constan-trate grazing nonlinear density dependence and functional response,and found out the conditions for the existence of equilibrium point and the features of partial stability,simultaneously gave necessary and sufficient conditions for the gradually stability of overall situation and the existence of the unique positive equilibrium point,and its biological significance was explained. |
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| Keywords: | nonlinear density dependence functional response balance limit cycle |
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