李玉红, 李海银. 一类具有比率依赖密度制约的离散非自治捕食-被捕食系统周期解的存在性[J]. 云南大学学报(自然科学版), 2012, 34(5): 497-502.
引用本文: 李玉红, 李海银. 一类具有比率依赖密度制约的离散非自治捕食-被捕食系统周期解的存在性[J]. 云南大学学报(自然科学版), 2012, 34(5): 497-502.
LI Yu-hong, LI Hai-yin. Periodic solution of a discrete time nonautonomous predator-prey system with density dependentce and ratio-dependence[J]. Journal of Yunnan University: Natural Sciences Edition, 2012, 34(5): 497-502.
Citation: LI Yu-hong, LI Hai-yin. Periodic solution of a discrete time nonautonomous predator-prey system with density dependentce and ratio-dependence[J]. Journal of Yunnan University: Natural Sciences Edition, 2012, 34(5): 497-502.

一类具有比率依赖密度制约的离散非自治捕食-被捕食系统周期解的存在性

Periodic solution of a discrete time nonautonomous predator-prey system with density dependentce and ratio-dependence

  • 摘要: 利用Gains和Mawhin重合度理论中的延拓定理,得到了一类具有比率依赖密度制约的离散非自治捕食-被捕食系统周期解的存在性和保证周期解存在的充分条件,推广了某些已知的相关结果.这个结论不仅适用于离散时滞,同样也适用于分布时滞和偏差变元.

     

    Abstract: By using the continuation theorem based on Gaines and Mawhin’s coincidence degree,sufficient and realistic conditions are obtained for the existence of positive periodic solutions for a discrete time nonautonomous predator-prey system with density dependence and ratio-dependence,and extend and improve some previous results.Our results are applicable to distributed delays and deviating arguments.

     

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