具有时滞的离散n种群食物链系统的持久性(英文)Permanence for the Discrete n-Species Food Chain Systems with Delays
张钰,腾志东
摘要(Abstract)：
研究了一类具有时滞的非自治离散时间n种食物链系统,并通过应用一种新的方法,获得了系统持久的充分条件.
关键词(KeyWords)： 持久;离散;食物链系统;时滞
基金项目(Foundation): Supported by The National Natural Science Foundation of P.R.China(10361004);; The Major Project of The Ministry of Education and The Scientific Research Programmes of Colleges in Xinjiang(XJEDU2004I12,XJEDU2006I05)
作者(Author): 张钰,腾志东
参考文献(References)：
- [1]Chen F.Permanence of a discrete n-species food-chain system with time delays[J].Appl Math Comput,2007,185:719-726.
- [2]Duan K,Teng Z.The stability and persistence of Lotka-Volterra food chains[J].J Biomath,1991,6:148-154(in Chinese).
- [3]Kuang Y.Delay Differential Equations with Applications in Population Dynamics[M].Boston:Academic Press,1993.
- [4]Li Y,Lu L.Positive periodic solutions of discrete n-species food-chain systems[J].Appl Math Comput,2005,167:324-344.
- [5]Li Z,Teng Z.Permanence for non-autonomous food chain systems with delay[J].J Math Anal Appl,2003,286:724–740.
- [6]Liao X,Zhou S,Chen Y.Permanence for a discrete time Lotka-Volterra type food-chain model with delays[J].Appl Math Comput,2007,in press.
- [7]Xu C,Wang M.Permanence for a delayed discrete three-level food-chain model with Beddington-DeAngelis functional response[J].Appl Math Comput,2007,187:1109-1119.
- [8]Zhou S,Li W,Wang G.Persistence and global stability of positive periodic solutions of three species food chains with omnivory[J].J Math Anal Appl,2006,324:397-408.
- [9]Zhang Y,Teng Z.Permanence for general discrete nonautonomous n-species Kolmogorov type systems with delays[J].J Math Anal Appl,to submitted.