【摘要】 研究了一类具有非线性收获率和Hasscll-Varlcy型功能性反应的差分方程组的周期解问题.利用重合度理论中Mawhin’s延拓定理,建立了离散时间的非自治捕食者-食饵收获系统至少存在一个正周期解的一组易于验证的充分条件.改进了范猛的相关结果.更多还原

【Abstract】 In this paper,we study the periodic solutions for a class of difference equations with nonlinear harvesting rate and Hasscll-Varlcy functional response.By applying Mawhin’s Continuation Theorem of coincidence degree theory,establish a set of easily verifiable sufficient conditions under which this discrete time of nonautonomous predator-prey system harvesting has at least one positive periodic solutions.Which improve Fan mutuality results.更多还原