详细信息
具有Beddington-DeAngelis功能反应函数和密度制约的捕食-被捕食系统的殆周期解(英文)
Almost Periodic Solutions for Density Dependent Predator-Prey System with Beddington-DeAngelis Functional Response
文献类型:期刊文献
中文题名:具有Beddington-DeAngelis功能反应函数和密度制约的捕食-被捕食系统的殆周期解(英文)
英文题名:Almost Periodic Solutions for Density Dependent Predator-Prey System with Beddington-DeAngelis Functional Response
作者:李海银[1];苏白云[1]
第一作者:李海银
机构:[1]河南财经政法大学数学与信息科学学院
第一机构:河南财经政法大学数学与信息科学学院
年份:2014
卷号:0
期号:3
起止页码:407-414
中文期刊名:生物数学学报
外文期刊名:Journal of Biomathematics
基金:Supported by the National Natural Science Foundation of China under Grant(61203050,61143002);the Soft Science Project of Henan Province(142400410315)
语种:中文
中文关键词:捕食者密度制约;Beddington-DeAngelis功能反应函数;捕食-被捕食系统;殆周期解
外文关键词:Density dependent predator;;Beddington-DeAngelis functional response;;Predator-prey system;;Almost periodic solution
摘要:研究了具有Beddington-DeAngelis功能反应函数和密度制约的捕食-被捕食系统的殆周期解.得到正不变性和持久性的充分条件,还通过构造李雅普诺夫函数得到惟一正殆周期解存在和全局渐近稳定的充分条件.
In this paper,we study the almost periodic solutions for a density dependent predator-prey system with Beddington-DeAngelis functional response.The sufficient conditions of positive invariance,permanence,existence and global asymptotic stability of a unique positive almost periodic solution by constructing Lyapunov function are derived,respectively.
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