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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
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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.
出处 《数学的实践与认识》 CSCD 北大核心 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)
关键词 功能反应 捕食系统 持续生存 灭绝 - fuctional responses predator-prey system permanence extinction
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