| 摘要: |
| 本文研究了具有变时滞的五种群Lotka-Volterra混合模型.通过使用泛函微分方程的单调流理论和Schauder不动点定理,获得了该系统的正周期解的存在性的充分条件,并建立了正周期解全局渐近稳定判别准则,改进和推广了已有的结果. |
| 关键词: Lotka-Volterra混合系统 变时滞 正周期解 全局渐近稳定性 |
| DOI： |
| 分类号:O175.14 |
| 基金项目:Supported by the Natural Science Foundation of Anhui Provincial Education Bureau(KJ2009B091Z) |
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| POSITIVE PERIODIC SOLUTION OF 5-SPECIES LOTKA-VOLTERRA MIXED SYSTEM WITH VARIABLE TIME DELAYS |
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LI Yu-jie,ZHANG Dao-xiang
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LI Yu-jie,ZHANG Dao-xiang(Institute of Mathematics and Computer,Anhui Normal University,Wuhu 241000,China)
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| Abstract: |
| This article studies the 5-species Lotka-Volterra mixed system with time dependent delays. Utilizing the theory of RFDE's monotone semifiow and the Schauder's fixed point theorem, we obtain a sufficient condition for the existence of positive periodic solution and establish a criterion for its global asymptotic stability. We generalize and improve some known results. |
| Key words: Lotka-Volterra mixed system variable time delay positive periodic solution global asymptotic stability |
