| 具有周期系数的捕食-竞争扩散系统的持久与全局渐近稳定性 |
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| 引用本文： | 孟新柱,王学蕾.具有周期系数的捕食-竞争扩散系统的持久与全局渐近稳定性[J].潍坊学院学报,2002,2(2):11-16. |
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| 作者姓名： | 孟新柱 王学蕾 |
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| 作者单位： | 山东科技大学,基础部,山东,泰安,271019 |
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| 摘 要： | 本文研究了一类带扩散项具有周期系数的非自治捕食一竞争系统，该系统由m 1个斑块组成，食饵种群之间竞争，并可以在m个斑块之间扩散，而捕食者之间存在竞争，并只能限定在自己斑块内不能扩散，得到系统正解的有界性，周期解存在唯一性和全局渐近稳定性的条件。
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| 关 键 词： | 捕食-竞争扩散系统 周期系统 有界性 全局吸引 周期解 |
| 文章编号： | 1671-4288(2002)02-0011-06 |
| 修稿时间： | 2001年12月28 |
Permanence and global stability of ecological prey- competition systems with peridic coefficients and dispersion |
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| MENG Xin-zhu,WANG Xue-lei.Permanence and global stability of ecological prey- competition systems with peridic coefficients and dispersion[J].Journal of Weifang University,2002,2(2):11-16. |
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| Authors: | MENG Xin-zhu WANG Xue-lei |
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| Abstract: | In the paper, we discuss a nonautonomous prey-competition dispersion systems and all parameters are time-dependent. The systems are consisted of m+1 patches. The prey species compete each other and disperse among m-patches. The predator species also compete each other,but they are confined to itself patch not to disperse. We gain conditions for boundedness of positive solution and the existence and global attractivity of a positive periodic solution of the system. |
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| Keywords: | Prey-Competition Dispersion Systems Periodic Coefficient Boundedness Global Attractivity Periodic solution |
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