| 一类食饵具常数存放率的Kolmogorov生态系统 |
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| 引用本文： | 王成文.一类食饵具常数存放率的Kolmogorov生态系统[J].应用数学和力学,1992,13(4):327-334. |
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| 作者姓名： | 王成文 |
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| 作者单位： | 山东矿业学院应用数学系 泰安 |
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| 基金项目： | 国家青年自然科学基金资助课题 |
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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常数存放率的Kolmogorov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,推广了文1]和2]的主要结果.
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| 关 键 词： | 生态系统 微分方程 极限环 稳定性 |
A Class of Kolmogorov's Ecological System with Prey Having Constant Adding Rate |
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| Wang Cheng-wen.A Class of Kolmogorov''''s Ecological System with Prey Having Constant Adding Rate[J].Applied Mathematics and Mechanics,1992,13(4):327-334. |
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| Authors: | Wang Cheng-wen |
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| Abstract: | In this paper, we study a class of Kolmogorov's ecological system with prey having constant adding rate, discuss the relative position and the character of the equalibriums, the global stability of the practical equalibriums and give a group of conditions for the boundedness of the solutions, the nonexistence, the existence and the uniqueness of the limit cycle of the system. Most results obtained in papers 1] and 2] are included or generalized. |
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| Keywords: | ecological system differential equations global stability limit cycle existence uniqueness |
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