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具污染与捕获的Logistic单种群的持续生存及绝灭
Persistence and Extinction of Logistic Single-Species with Pollution and Harvesting
【摘要】 当今社会工农业的高速发展在给人们带来经济利益的同时,也造成了严重的环境污染.一些生物种群一方面受到污染的威胁,另一方面还要满足人们捕获的需求.这就使得环境污染中的种群捕获问题成为人们关心的问题.本文指出以往环境污染单种群模型的不足之处,基于文献[3]的基础上给出新模型;并得到了一致持续生存及灭绝的充分条件;而且通过具体例子给出两个控制变量:环境毒素输入率和捕获率之间的关系图.
【Abstract】 With the development of industries and agricultures,great economic profits have been brought;but in the meanwhile environment pollutions have also been made.Many species not only live in the danger of toxicant pollution,but also face peoples’ harvesting.Therefore,some species are i the verge of extinction.More and more people are concerned about the harvesting of speces living in the polluted environment.Based on paper [3],we point out some disadvantage of model before and give a developed model.We obtain the sufficient conditions of persistence and extinction;and also give an example to show the relation between the toxicant input rate from environment and harvesting rate.
【Key words】 Species; Pollution; Harvesting; Persistence; Extinction; Comparison theorem;
- 【文献出处】 生物数学学报 ,Journal of Biomathematics , 编辑部邮箱 ,2006年03期
- 【分类号】O175;X171
- 【被引频次】21
- 【下载频次】261