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污染环境中Gallopin系统的生存分析
引用本文:何泽荣,马知恩.污染环境中Gallopin系统的生存分析[J].应用数学和力学,2000,21(8):829-835.
作者姓名:何泽荣  马知恩
作者单位:1. 四川三峡学院,计算机系,重庆万州,404000
2. 西安交通大学,应用数学系,西安,710049
基金项目:四川三峡学院科研基金资助项目
摘    要:研究了环境污染对Gallopin资源-消费系统中消费种群的长期影响,给出了种群弱平均持续生存和绝灭的判据,在一定条件下得到了阈值。

关 键 词:Gallopin系统  消费者种群  持续生存  污染环境
修稿时间:1999-01-11

The Survival Analysis for Gallopin's System in a Polluted Environment
HE Ze-rong,MA Zhi-en.The Survival Analysis for Gallopin's System in a Polluted Environment[J].Applied Mathematics and Mechanics,2000,21(8):829-835.
Authors:HE Ze-rong  MA Zhi-en
Abstract:The long_time behavior of the consumer population in a Gallopin's system, located in a polluted environment, was studied. Firstly, a mathematical model, i.e.,a nonlinear ordinary differential system, was made by taking a constant catch rate into account in model of MA Zhi_en. Secondly, using the extension theorem and the comparison theorem, the bound of the system was estimated. Then, the effect of the pollution on the consumer population was discussed by the use of calculus and qualitative theory of differential equation. Finally, some conditions for weak persistence in the mean and extinction are found out. The threshold between persistence and extinction can be established in some cases.
Keywords:Gallopin's system  consumer population  pollution  persistence  extinction
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