北华大学学报(自然科学版)2016,Vol.17Issue(4):439-443,5.DOI:10.11713/j.issn.1009-4822.2016.04.004
害鼠治理中一类在食饵中具有不育控制的捕食与被捕食模型
A Class of Predator-Prey Model with Infertility Control in the Prey for Integrated Harmful Rat Management
摘要
Abstract
A class of predator-prey model with infertility control in the prey is studied. The boundness of model solution and local stability of zero equilibrium and positive equilibrium are discussed. By constructing appropriate Lyapunov function and LaSalle’ s invariance principle,the global asymptotic stability of positive equilibrium is proved.关键词
不育控制/捕食与被捕食系统/Lyapunov函数/全局渐近稳定Key words
infertility control/predator-prey/Lyapunov function/global asymptotic stability分类
数理科学引用本文复制引用
冯晓梅,王文娟..害鼠治理中一类在食饵中具有不育控制的捕食与被捕食模型[J].北华大学学报(自然科学版),2016,17(4):439-443,5.基金项目
国家自然科学基金项目(11501498 ()
11371313) ()
运城学院院级项目(XK2012002) (XK2012002)