华南师范大学学报(自然科学版)
華南師範大學學報(自然科學版)
화남사범대학학보(자연과학판)
JOURNAL OF SOUTH CHINA NORMAL UNIVERSITY (NATURAL SCIENCE EDITION)
2014年
5期
21-25
,共5页
非线性收获率%非线性依赖死亡率%脉冲Nicholson's blowflies模型%正周期解%重合度
非線性收穫率%非線性依賴死亡率%脈遲Nicholson's blowflies模型%正週期解%重閤度
비선성수획솔%비선성의뢰사망솔%맥충Nicholson's blowflies모형%정주기해%중합도
nonlinear harvesting term%nonlinear density-dependent mortality term%impulsive Nicholoson ’ s blow-flies model%positive periodic solution%coincidence degree
研究了一类具有非线性收获率和非线性依赖死亡率的脉冲Nicholoson's blowflies模型。利用重合度理论和不等式分析技巧,获得了该模型至少存在一个正周期解的一些充分条件,对该模型无脉冲情形的相关研究结果进行了推广和研究。此外,给出一个合适的例子来说明所得结果的可行性。
研究瞭一類具有非線性收穫率和非線性依賴死亡率的脈遲Nicholoson's blowflies模型。利用重閤度理論和不等式分析技巧,穫得瞭該模型至少存在一箇正週期解的一些充分條件,對該模型無脈遲情形的相關研究結果進行瞭推廣和研究。此外,給齣一箇閤適的例子來說明所得結果的可行性。
연구료일류구유비선성수획솔화비선성의뢰사망솔적맥충Nicholoson's blowflies모형。이용중합도이론화불등식분석기교,획득료해모형지소존재일개정주기해적일사충분조건,대해모형무맥충정형적상관연구결과진행료추엄화연구。차외,급출일개합괄적례자래설명소득결과적가행성。
A class of impulsive Nicholoson's blowflies model with nonlinear harvesting term and nonlinear density-dependent mortality term is discussed .By using coincidence degree theory and inequality analysis techniques , some sufficient conditions are obtained to guarantee the existence of at least one positive periodic solution of the model , which extend and improve previously known results of the model without impulses .Moreover , a suitable example is given to illustrate the feasibility of the obtained results .