商洛学院学报
商洛學院學報
상락학원학보
JOURNAL OF SHANGLUO UNIVERSITY
2011年
6期
6-9
,共4页
阶段结构%自食生态系统%周期解%Ⅲ类功能性反应
階段結構%自食生態繫統%週期解%Ⅲ類功能性反應
계단결구%자식생태계통%주기해%Ⅲ류공능성반응
stage-structure%cannidalism ecological system%periodic solution%Ⅲtyple functional response
利用泛函微分方程及拓扑度理论研究了一类捕食者具有阶段结构和Ⅲ类功能性反应自食生态系统,给出了系统一致有界的充分条件,同时得到了该系统存在周期解充分条件。即满足系统一致的条件,该生态系统就会出现周期震荡。
利用汎函微分方程及拓撲度理論研究瞭一類捕食者具有階段結構和Ⅲ類功能性反應自食生態繫統,給齣瞭繫統一緻有界的充分條件,同時得到瞭該繫統存在週期解充分條件。即滿足繫統一緻的條件,該生態繫統就會齣現週期震盪。
이용범함미분방정급탁복도이론연구료일류포식자구유계단결구화Ⅲ류공능성반응자식생태계통,급출료계통일치유계적충분조건,동시득도료해계통존재주기해충분조건。즉만족계통일치적조건,해생태계통취회출현주기진탕。
Using functional differential equation and the topological degree theory,a predator with stage structure and Ⅲ kind functional reaction reaps ecosystem system is studied, then the uniform bounded sufficient conditions of the system, the sufficient conditions for existence of periodic solutions were obtained,which meet the conditions of the ecological system will appear periodic oscillation.