| 一类时变的三个种群的生态系统的分析 |
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| 引用本文： | 王荣良.一类时变的三个种群的生态系统的分析[J].中国海洋大学学报(自然科学版),1990(2). |
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| 作者姓名： | 王荣良 |
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| 作者单位： | 青岛海洋大学应用数学系 |
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| 摘 要： | 对于三个种群可解模式的生态系统,即一个被捕食和二个捕食系统,二个被捕食和一个捕食系统,三步捕食—食饵系统的食物链,当模式的系数均为常数及周期函数情况,均有人进行过研究。本文进一步研究了这些系数随时间变化而趋于一个定值或在某一常数附近作周期性振荡,并给出容易检验存在唯一全局渐近稳定的正周期解的条件。
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| 关 键 词： | 时变 三个种群的生态系统 分析 |
THE ANALYSIS OF THREE SPECIES ECOSYSTEMS WITH TIME VARIATION |
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| Wang Rongliang.THE ANALYSIS OF THREE SPECIES ECOSYSTEMS WITH TIME VARIATION[J].Periodical of Ocean University of China,1990(2). |
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| Authors: | Wang Rongliang |
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| Institution: | Department of Applied Mathematies |
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| Abstract: | For the three-species ecosystems in a solvable model, three different possibilities, i.e., the one-prey-two-predator system, the two-prey-one-predator system and the three-step prey-predator food chain are considered. Some researchers have explored the cases in which the coefficients of the model are constants and periodic functions. In this article we further study the cases in which the coefficients of the model vary with time and tend to definite values or vibrate periodically near certain constants and present the conditions for examining with ease the existence of a unique and positive periodic solution of asymptotic stabililv in the large. |
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| Keywords: | time variation three species ecosvtems analysis |
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