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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） 被引量：1

Almost Periodic Solutions for Density Dependent Predator-Prey System with Beddington-DeAngelis Functional Response
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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.
作者 李海银 苏白云
机构地区 河南财经政法大学数学与信息科学学院
出处 《生物数学学报》 2014年第3期407-414,共8页 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)
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 Density dependent predator Beddington-DeAngelis functional response Predator-prey system Almost periodic solution
分类号 O175 [理学—基础数学]
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生物数学学报
2014年 第3期

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