摘要
考虑了周期环境中带有非单调功能反应的非自治捕食者食饵模型,得到了不存在周期解、至少存在一个或两个周期解的新的充分条件,所用方法主要基于Mawhin的迭合度理论及估计先验界的新技巧.
We consider a non-autonomous predator-prey model with nonmonotonic functional re- sponse in a periodic environment. Some new sufficient conditions are obtained for the nonexistence of periodic solutions and the global existence of at least one or two positive periodic solutions. Our method is based on Mawhin's coincidence degree and novel estimation techniques for the priori bounds of unknown solutions.
出处
《上海师范大学学报(自然科学版)》
2012年第2期111-121,共11页
Journal of Shanghai Normal University(Natural Sciences)
基金
Shanghai Municipal Education Committee(10YZ74)
关键词
周期解
适合度
捕食者-食饵模型
非单调功能反应
periodic solution
coincidence degree
predator-prey model
nonmonotonic functional response