计算机工程与应用2016,Vol.52Issue(15):49-54,6.DOI:10.3778/j.issn.1002-8331.1510-0138
具有阶段结构及B-D功能反应的食饵-捕食模型
Predator-prey model with B-D functional response and stage structure
摘要
Abstract
Stability of a predator-prey model with Beddington-DeAngelis functional response and stage structure for the prey is investigated. By the method of characteristic, the local stability of a predator-extinction equilibrium and a coexistence equilibrium of the model is discussed. By introducing a new lemma and applying the comparison principle of differential equation and iterative method, respectively, sufficient conditions are obtained for the global stability of the predator-extinction equilibrium and the coexistence equilibrium. Finally, numerical simulations are carried out to illustrate the main results.关键词
阶段结构/时滞/Beddington-DeAngelis功能反应/食饵-捕食模型/稳定性Key words
stage structure/time delay/Beddington-DeAngelis functional response/predator-prey model/stability分类
数学引用本文复制引用
宋燕,胥东方,李昂..具有阶段结构及B-D功能反应的食饵-捕食模型[J].计算机工程与应用,2016,52(15):49-54,6.基金项目
辽宁省自然科学基金(No.LN2014160);辽宁省教育厅项目(No.L2012404)。 ()