生物数学学报
生物數學學報
생물수학학보
JOURNAL OF BIOMATHEMATICS
2006年
3期
321-328
,共8页
正周期解%状态-依赖型时滞%重合度
正週期解%狀態-依賴型時滯%重閤度
정주기해%상태-의뢰형시체%중합도
Positive periodic solution%State-dependent delay%Coincidence degree
考虑一类具非单调泛函响应的状态-依赖型时滞捕食者-食饵系统,利用重合度和延拓定理,得到了一系列易检验的类方程至少存在一个严格正周期解的充分条件.
攷慮一類具非單調汎函響應的狀態-依賴型時滯捕食者-食餌繫統,利用重閤度和延拓定理,得到瞭一繫列易檢驗的類方程至少存在一箇嚴格正週期解的充分條件.
고필일류구비단조범함향응적상태-의뢰형시체포식자-식이계통,이용중합도화연탁정리,득도료일계렬역검험적류방정지소존재일개엄격정주기해적충분조건.
In this paper, a delayed state-dependent predator-prey system with non-monotonic functional response is considered. By using the coincidence degree and continuation theorem, a set of easily verifiable sufficient conditionsis derivedfor the existence of at least one stricity positive periodic solution to the equation.