纺织高校基础科学学报2016，Vol.29Issue(1)：11-17,7.DOI:10.13338/j.issn.1006-8341.2016.01.003
一类具有修正的 Leslie 型功能反应的捕食-食饵模型
A predator-prey model of modified Leslie type functional response
摘要
Abstract
A predator-prey system of modified Leslie type with the generalized Holling type Ⅲfunctional response under Dirichlet boundary conditions is studied.The local existence and sta-bility condition of positive solutions are given by regarding c as a bifurcation parameter and making use of maximum principle,bifurcation theory and stability theory.Furthermore,the global structure of local bifurcation solutions is investigated.关键词
捕食-食饵模型/分歧/局部存在性/稳定性Key words
predator-prey model/bifurcation/local existence/asymptotic stability分类
数理科学引用本文复制引用
孟丹,李艳玲..一类具有修正的 Leslie 型功能反应的捕食-食饵模型[J].纺织高校基础科学学报,2016,29(1):11-17,7.基金项目
国家自然科学基金资助项目(11271236) （11271236）
