离散Schoner竞争模型的正周期解  

Positive periodic solutions for discrete Schoner competitive models

作　　者：向红[1] 严克明[1] 王柏岩[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2005年第5期125-128,共4页Journal of Lanzhou University of Technology

基　　金：甘肃省自然科学基金(ZS032-B25-030)

摘　　要：利用重合度理论的延拓引理讨论了一类离散Schoner竞争模型正周期解的存在性,得到了保证系统周期解存在的易于验证的充分条件.同时所得结果可以应用于具有时滞的离散Schoner竞争模型.By using the continuation lemma in the theory of Gaines and Mawhin＇s coincidence degree, the existence of positive periodic solutions for a category of discrete Schoner competitive models is discussed and the easy to be checked sufficient conditions are obtained for the global existence of these solutions. Meantime, the result obtained can be used for discrete Schoner competitive models with time delay.

关 键 词：离散竞争模型 正周期解 重合度 

分 类 号：O175.7[理学—数学]