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阶段结构半比率型捕食系统的持久性和全局吸引性

Permanence and global attractivity of a semi-ratio-dependent predator-prey system with stage structure for prey
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摘要 研究一类具有Holling Ⅲ类功能性反应和阶段结构的半比率型捕食系统,运用微分方程比较原理和构造适当的Lyapunov泛函,得到保证系统持久和全局吸引的充分性条件. A semi -ratio -dependent predator- prey system with Holling Ⅲ type functional response and stage structure for prey is studied. By applying comparison theorem of differential equation and constructing a suitable Lyapunov functional, sufficient conditions for the permanence and global attractivity of the system are obtained.
作者 余胜斌
机构地区 福州大学数学与计算机科学学院
出处 《福州大学学报（自然科学版）》 CAS CSCD 北大核心 2008年第5期643-648,共6页 Journal of Fuzhou University(Natural Science Edition)
关键词 半比率 阶段结构 LYAPUNOV泛函 功能性反应 全局吸引 semi - ratio - dependent stage structure Lyapunov functional functional response global attractivity
分类号 O175.13 [理学—基础数学]
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参考文献9

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二级参考文献13

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福州大学学报（自然科学版）
2008年 第5期

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