GLOBAL ATTRACTIVITY OF A DELAYED RATIO-DEPENDENT COOPERATIVE SYSTEM WITH STAGE STRUCTURE

• 作者: Kun Yang Rongyu Han
• 来源期刊: 微分方程年刊：英文版
• 学科: 生物学
• 关键词: 全局吸引 结构比例 比率依赖 合作制 时滞 保证系统 迭代方法 正平衡点
• 年，卷（期）: 2014,（4）
• 页码范围: 449-457
• 页数: 9页
• 分类号: Q141

摘要

An autonomous stage-structured ratio-dependent cooperative system,which was proposed by Muhammadhaji,Teng and Abdurahman,is revisited in this paper. By introducing a new lemma and using the iterative method, a set of sufficient conditions which guarantee the global attractivity of the positive equilibrium is obtained. It is shown that the conditions which guarantee the permanence of the system are enough to ensure the global attractivity of the system. Our result not only complements but also supplements one of the main results of Muhammadhaji, Teng and Abdurahman(Permanence and extinction analysis for a delayed ratio-dependent cooperative system with stage structure, Afr. Mat.(2013)DOI 10.1007/sl3370-013-0162-6).