具有功能反应的污染环境中的非自治捕食系统的生存与灭绝  

Permanence and Extinction on a Nonautonomous Predator-Prey System with Fuctional Responses in a Polluted Environment

作　　者：司桂荣 李坤[2] 梁桂珍[3] 

机构地区：[1]内蒙古广播电视大学兴安盟分校,内蒙古乌兰浩特137400 [2]河南机电高等专科学校基础部,河南新乡453002 [3]新乡学院数学与信息科学系,河南新乡453003

出　　处：《数学的实践与认识》2013年第21期265-271,共7页Mathematics in Practice and Theory

基　　金：河南省科技厅科技攻关项目(112102310376;122102310373);河南省科技厅软科学项目(102400440050);新乡学院科技创新项目(201120)(12ZB17)

摘　　要：研究了一类具有HollingII型功能反应且居于污染环境中的非自治捕食系统,考虑到资源存在及死亡个体体内毒素回归环境对种群密度的影响.运用比较定理及微分方程稳定性理论,得到了此系统持续生存和灭绝的充分条件.In this paper, a nonautonomous predator-prey system with HollingII fuctional responses in a polluted environment is researched. It is considered that existence of the resources and the toxins released in natural environment of the death organisms affect densities of the populations. The sufficient conditions of permanence and extinction of such a system are obtained by using comparison theorem and the related theorem.

关 键 词：功能反应 捕食系统 持续生存 灭绝 

分 类 号：O175[理学—数学]