污染环境中Leslie系统的收获模型  

A Harvesting Model for Leslie System in Polluted Environment

作　　者：刚毅[1] 雒志学[2] 

机构地区：[1]运城学院应用数学系,山西运城044000 [2]兰州交通大学,兰州730070

出　　处：《重庆工学院学报（自然科学版）》2008年第8期62-65,共4页Journal of Chongqing Institute of Technology

基　　金：国家自然科学基金资助项目(604730304);兰州交通大学青蓝人才基金资助项目(QL-05-18A)

摘　　要：研究了人类收获与环境污染对Leslie资源-消费者模型中消费者种群的影响.对污染环境中的Leslie系统建立了有连续收获率的资源-消费者模型.利用比较原理,证明了当资源函数有界时,种群规模有界,当资源逐渐耗尽时,种群必在有限时间内绝灭,并给出了种群β-生存的条件.This paper concentrates on the effects of human harvest and pollution to the consumer population in a Leslie resource-consumer system, and establishes a continuous harvesting model for the Leslie system in a polluted environment. By using comparison theory, it is proved that the population size is bounded when the growing function of the source is bounded, and that the population is doomed to extinct in finite time when the resource gradually exhausted. At the same time, This paper gives the condition for persistence of the consumer population.

关 键 词：Leslie系统 收获率 消费者种群 

分 类 号：O175[理学—数学]