龙岩学院学报
龍巖學院學報
룡암학원학보
Journal of Longyan University
2015年
5期
12-17
,共6页
概周期解%反馈控制%单种群模型%遗传效应%时变时滞
概週期解%反饋控製%單種群模型%遺傳效應%時變時滯
개주기해%반궤공제%단충군모형%유전효응%시변시체
almost periodic solutions%feedback control%single population model%hereditary effect%time-varying delay
讨论一类具有反馈控制和遗传效应的单种群模型。借助概周期函数的定义和微分方程比较原理，探讨具有反馈控制和遗传效应的单种群模型概周期解的存在性。在适当的条件下，运用新的证明方法，得到保证该模型的持久的判据。再结合概周期函数的定义，得到了该模型概周期解存在的充分性条件，获得了一些新的结果。
討論一類具有反饋控製和遺傳效應的單種群模型。藉助概週期函數的定義和微分方程比較原理，探討具有反饋控製和遺傳效應的單種群模型概週期解的存在性。在適噹的條件下，運用新的證明方法，得到保證該模型的持久的判據。再結閤概週期函數的定義，得到瞭該模型概週期解存在的充分性條件，穫得瞭一些新的結果。
토론일류구유반궤공제화유전효응적단충군모형。차조개주기함수적정의화미분방정비교원리，탐토구유반궤공제화유전효응적단충군모형개주기해적존재성。재괄당적조건하，운용신적증명방법，득도보증해모형적지구적판거。재결합개주기함수적정의，득도료해모형개주기해존재적충분성조건，획득료일사신적결과。
This paper is concerned with a delayed single population model with feedback control and hereditary effect. Based on the definition of an almost periodic function and comparison theorem of differential equation, we discuss the existence of a delayed single population model with feedback control and hereditary effect. Under proper conditions, we employ new proof to establish some criteria which can ensure permanence of the model. Furthermore, by applying the definition of an almost periodic function, we obtain sufficient conditions for the existence of positive almost periodic solutions for the model and some new results.
