| 具有时滞和阶段结构的捕食系统的持久性和全局吸引性 |
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| 引用本文： | 赖尾英,占青义. 具有时滞和阶段结构的捕食系统的持久性和全局吸引性[J]. 大学数学, 2012, 28(1): 50-57. DOI: 10.3969/j.issn.1672-1454.2012.01.011 |
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| 作者姓名： | 赖尾英 占青义 |
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| 作者单位： | 1.福建农林大学计算机与信息学院,福建福州,350002;2.福建农林大学计算机与信息学院,福建福州,350002 |
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| 基金项目： | 福建省科技创新平台计划项目(2009J1007) |
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| 摘 要： | 研究一类具有时滞和阶段结构的捕食系统.利用微分方程的比较原理和通过构造适当的Lyaponov泛函,得到保证此系统持久性和全局吸引性的充分条件.最后举例说明结论的可行性并且讨论了所得结果的生态意义.
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| 关 键 词： | 阶段结构 捕食-食饵系统 时滞 全局吸引 持久性 |
Permanence and Global Stability of a Predator-prey System with Stage Structure and Time Delays |
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| LAI Wei-ying,ZHAN Qing-yi. Permanence and Global Stability of a Predator-prey System with Stage Structure and Time Delays[J]. College Mathematics, 2012, 28(1): 50-57. DOI: 10.3969/j.issn.1672-1454.2012.01.011 |
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| Authors: | LAI Wei-ying ZHAN Qing-yi |
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| Affiliation: | (College of Computer and Information Science,Fujian Agriculture and Forestry University,Fuzhou,Fujian 350002,China) |
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| Abstract: | A predator-prey system with stage structure and time delays is studied in this paper.Sufficient conditions which guarantee the uniform persistence and global attractivity of the model are obtained by using the standard comparison theorem and constructing a suitable Lyaponov functional.At the end of the paper,example show the feasibility of the main results and some biological enplanation of the main results are presented. |
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| Keywords: | stage structure predator-prey system delay permanence |
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