机构地区: 华南师范大学数学科学学院
出 处: 《华南师范大学学报(自然科学版)》 2014年第2期10-16,共7页
摘 要: 研究了在2个斑块具有迁移效应和收获率的捕食者-食饵系统,其中的功能性反应函数是具有一般性的Hassell-Varley-Holling功能性反应.利用迭合度理论连续定理,对系统的解的界的情形进行了细致分析,给出了8种可能情形,建立了多个周期解存在的充分条件. A predator prey system with dispersal and harvest, in which the functional response is the general Hassell-Varley-Holling function is discussed. Based on continuous theorem of coincidence degree theory, the bounds of solutions of this system are analyzed, in which there are eight possible cases, the sufficient conditions of the existence of multiple periodic solutions are established.