污染与捕获对种群系统的影响分析

The Effect of Pollution and Capture on Biotic Population System

摘要: 一些生物一方面受环境污染一方面又要满足捕获的需要，从而使得环境污染中种群捕获问题备受关注。本文研究了一类污染环境中种群生存的动力学模型，基于已有结果，考虑内禀增长率为非线性函数和种群满足捕获需求的情形，加入种群变量对生物体内毒素和环境毒素浓度的影响从而建立新模型，并得到种群一致持续生存及灭绝的判别条件。

Abstract: Some biological aspects are not only affected by environmental pollution, but also have to meet the need of human being capture. Thus the biotic population problem in the environmental pollution has been taken so much attention. This paper has studied the dynamic model of a class of population living in a pol- luted environment. Based on the existing results, we have established new model with the effect of population variables on organisms and environmental toxins concentration, and with the nonlinear intrinsic growth rate and the population trapping. We have also obtained the sufficient and necessary conditions for the uniform persistence and extinction of population.