一类生态模型的周期解研究

摘要

We consider a non-autonomous predator-prey model with nonmonotonic functional response 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.%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.