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具有捕食正效应及Holling Ⅱ功能性反应的捕食-食饵系统 被引量:1

A Class of Two Species Predator-prey Model with Holling Ⅱ Functional Response and Positive Effect for Prey
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摘要 本文研究一类具有捕食正效应的Holling Ⅱ功能性反应的食饵-捕食者系统:dx/dt=rx(1-x/k+εy/k)-αxy/1+ωx,dy/dt=kαxy/1+ωx-dy,讨论其平衡点的性态. This paper studies a class of two species predator - prey model with Holling II functional response and positive effect for prey, namely, the systemdx/dt=rx(1-x/k+εy/k)-αxy/1+ωx,dy/dt=kαxy/1+ωx-dy,and investigatesthe natures of its equilibrium points.
出处 《数学理论与应用》 2014年第4期82-87,共6页 Mathematical Theory and Applications
基金 湖南省教育厅科学研究项目(13C084) 衡阳市科技局计划项目(2012KS15) 湖南省"十二五"重点建设学科资助项目(湘教发[2011]76号) 衡阳师范学院青年骨干教师培养对象资助项目(2013)
关键词 功能性反应 捕食正效应 食饵-捕食者系统 Functional response Predator - prey positive effect Prey - predator system
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