| 具有非线性密度制约的一类微分生态系统的定性分析 |
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| 引用本文： | 宋新宇 易家效. 具有非线性密度制约的一类微分生态系统的定性分析[J]. 信阳师范学院学报(自然科学版), 1992, 5(4): 361-367 |
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| 作者姓名： | 宋新宇 易家效 |
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| 摘 要： | 本文利用定性分析方法，研究了一类食饵具有非线性密度制约及常数存放率的微分生态系统，讨论了系统平衡点的相对位置和性态，可行平衡点的全局稳定性，给出了一组解的有界性，系统无环性以及极限环的存在唯一性的条件。
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| 关 键 词： | 生态系统 定性分析 捕食者 食饵 |
Qualitative Analysis of a Kind of Differential Ecosystem with Nonlinear Density Restriction |
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| Song Xinyu Yi Jiaxiao. Qualitative Analysis of a Kind of Differential Ecosystem with Nonlinear Density Restriction[J]. Journal of Xinyang Teachers College(Natural Science Edition), 1992, 5(4): 361-367 |
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| Authors: | Song Xinyu Yi Jiaxiao |
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| Affiliation: | Song Xinyu Yi Jiaxiao |
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| Abstract: | In this paper, we study a dif feren t ial ecosystem with prey having constant adding rate and nonlinear density restriction, discuss the relative position and the character of the equilibriums the global stability of the practical equilibriums and give a group of conditions for the boundedness of the solutions, the nonex i stence, the existence and the uniqueness of the limit cycle of the system. |
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| Keywords: | ecological system qualitative analysis limit cycle predator prey |
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