北华大学学报（自然科学版）2016，Vol.17Issue(2)：141-147,7.DOI:10.11713/j.issn.1009-4822.2016.02.001
一类具有非单调型功能反应的捕食-食饵扩散系统的持久性和全局吸引性
Persistence and Global Attractivity of a Class of Predator-Prey Diffusive System with Non-Monotonic Type Functional Response
摘要
Abstract
We investigate the persistence and global attractivity of a class of predator-prey diffusive system with double density restrict and non-monotonic type functional response by applying Comparison Theorem of differential equation, the Continuation Theorem of coincidence degree theory, Barbalat Lemma and Lyapunov Function.The sufficient conditions with the existence of the unique globally asymptotically stable of the positive periodic solution are obtained.关键词
扩散系统/正周期解/非单调功能性反应/持久性/全局渐近稳定性Key words
diffusive system/positive periodic solution/non-monotonic type functional response/persistence/global asymptotic stability分类
数理科学引用本文复制引用
徐长玲,程荣福..一类具有非单调型功能反应的捕食-食饵扩散系统的持久性和全局吸引性[J].北华大学学报（自然科学版）,2016,17(2):141-147,7.基金项目
国家自然科学基金项目(11201008). （11201008）
