| 一类周期互惠共存系统的正周期解 |
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| 引用本文： | 崔景安 黄永年. 一类周期互惠共存系统的正周期解[J]. 新疆大学学报(理工版), 1992, 9(2): 14-23 |
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| 作者姓名： | 崔景安 黄永年 |
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| 作者单位： | 新疆大学数学系(崔景安)，新疆大学数学系(黄永年) |
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| 摘 要： | 本文考虑一类两种群周期互惠共存系统,应用拓扑度理论,得到了系统存在唯一的渐近稳定的正周期解的合理条件;并进一步证明了周期解的全局渐近稳定性,给出了解的最优上下界估计。
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| 关 键 词： | 互惠共存系统 周期解 稳定性 估计 |
POSITIVE PERIODIC SOLUTION OF A PERIODIC COOPERATIVE SYSTEM |
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| Cui jingan,Huang Yongnian. POSITIVE PERIODIC SOLUTION OF A PERIODIC COOPERATIVE SYSTEM[J]. Journal of Xinjiang University(Science & Engineering), 1992, 9(2): 14-23 |
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| Authors: | Cui jingan Huang Yongnian |
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| Affiliation: | Cui jingan;Huang Yongnian Department of Mathematics |
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| Abstract: | In this peper, a periodic copperative system for two species is considered. By using the conceptionof topological degree, we obtain a reasonable condition under which the system has a unique andasymptotic stabele positive solution. Furthermore, we prove that the positive periodic solution is global-ly asymptotically stable and give optimal upper and lower bounds of the components of the solution. |
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| Keywords: | cooperative system periodic solution global asymptotical stability |
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