具有避难所的非自治捕食系统的周期解（英文）  

Periodic solutions of a nonautonomous predator-prey model with a constant refuge

作　　者：王惠程[1] 夏永辉[1] 邹长武[2] 

机构地区：[1]浙江师范大学数理信息与工程学院,金华321004 [2]福州大学数学与计算机学院,福州350002

出　　处：《上海师范大学学报（自然科学版）》2015年第3期314-321,共8页Journal of Shanghai Normal University(Natural Sciences)

基　　金：Supported by the National Natural Science Foundation of China under Grant(11271333 and 11171090);China Postdoctoral Science Foundation(2014M562320);the Natural Science Foundation of Fujian Province under Grant(2013J01010);Natural Science Foundation of Zhejiang Province under Grant(LY15A010007)

摘　　要：考虑了一类具有避难所的非自治捕食系统,得到了该模型存在正周期解的新颖充分条件.所使用的方法是把Mawhin重合度理论和算子方程先验界的一些新估计技巧相结合.We consider the nonautonomous predator-preymodel with a constant refuge. Some new and interesting sufficient conditions are obtained for the global existence of the positive periodic solutions of such a model. Our method is based on Mawhin’s coincidence degree and novel estimation techniques for the a priori bounds of unknown solutions to Lx = λNx.

关 键 词：捕食模型 避难所 周期解 

分 类 号：O175.13[理学—数学]