含纯粹分布时滞的Lotka-Volterra两种群合作系统的正周期解(英文)

艾合麦提·麦麦提阿吉; 滕志东

您当前的位置：

首页 >

文章列表页 >

含纯粹分布时滞的Lotka-Volterra两种群合作系统的正周期解(英文)

更新时间：2026-01-21

- 含纯粹分布时滞的Lotka-Volterra两种群合作系统的正周期解(英文)
- Journal of Xinjiang University (Natural Science Edition in Chinese and English) Vol. 27, Issue 3, Pages: 280-287(2010)
- 作者机构：
  
  新疆大学数学与系统科学学院
- 作者简介：
- 基金信息：
- DOI：
  CLC： O175.14
- Published：2010
- 稿件说明：
移动端阅览
[1]艾合麦提·麦麦提阿吉,滕志东.含纯粹分布时滞的Lotka-Volterra两种群合作系统的正周期解(英文)[J].新疆大学学报(自然科学版),2010,27(03):280-287.

艾合麦提·麦麦提阿吉, 滕志东. 含纯粹分布时滞的Lotka-Volterra两种群合作系统的正周期解(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2010, 27(3): 280-287.
[1]艾合麦提·麦麦提阿吉,滕志东.含纯粹分布时滞的Lotka-Volterra两种群合作系统的正周期解(英文)[J].新疆大学学报(自然科学版),2010,27(03):280-287. DOI：

艾合麦提·麦麦提阿吉, 滕志东. 含纯粹分布时滞的Lotka-Volterra两种群合作系统的正周期解(英文)[J]. Journal of Xinjiang University (Natural Science Edition in Chinese and English), 2010, 27(3): 280-287. DOI：

摘要

研究了含有纯粹分布时滞的Lotka-Volterra两种群合作系统的正周期解.基于Gaines和Mawhin的叠合度定理

我们给出了含有纯粹分布时滞的Lotka-Volterra两种群合作系统的新的正周期解存在性的充分条件.

Abstract

In this paper

a class of periodic two species cooperative LotkaVolterra population systems with distributed delays is discussed.Based on the continuation theorem of the coincidence degree theory developed by Gaines and Mawhin

some new sufficient conditions on the existence of positive periodic solutions are established.

关键词

Keywords

references

Chen S H,Wang T X,Zhang J H.Positive periodic solution for nonautonomous competition Lotka-Volterra patch system with time delay[J].Nonl Anal RWA,2004,5:409-419.

Dong L Z,Chen L S,Shi P L.Periodic solutions for a two-species nonautonomous competition system with diffusion and impulses[J].Chaos Solit Fract,2007,32:1916-1926.

Gaines R E,Mawhin J L.Coincidence degree and nonlinear differential equations[M].in:Lecture Notes in Mathematics,vol.568.Berlin:Springer,1977.

Zhang L,Li H X,Zhang X B.Periodic solutions of competition Lotka-Volterra dynamic system on time scales[J].Comput Math Appl,2009,57:1204-1211.

Hui F,Wang Z C.Existence and global attractivity of positive periodic solutions for delay Lotka-Volterra competition patch systems with stocking[J].Math Anal Appl,2004,293:190-209.

Hui F,Xiao Y F.Existence of multiple periodic solutions for delay Lotka-Volterra competition patch systems with harvesting[J].Appl Math Modelling,2009,33:1086-1096.

Lin G J,Hong Y G.Periodic solution in nonautonomous predator-prey system with delays[J].Nonl Anal RWA,2009,10:1589-1600.

Lu S P.On the existence of positive periodic solutions to a Lotka Volterra cooperative population model with multiple delays[J].Nonlinear Anal,2008,68:1746-1753.

Zhang Z Q,Wu J,Wang Z C.Periodic solutions of nonautonomous stage-structured cooperative system[J].Comput Math Appl,2004,47:699-706.

Wei F Y,Wang K.Asymptotically periodic solution of N-species cooperation system with time delay[J].Nonl Anal RWA,2006,7:591-596.

Wei F Y,Wang K.Global stability and asymptotically periodic solution for nonautonomous cooperative Lotka-Volterra diffusion system[J].Appl Math Comput,2006,182:161-165.

Weng P X.Existence and global stability of positive periodic solution of periodic integrodifferential system with feedback controls[J].Comput Math Appl,2000,40:747-759.

Yin F Q,Li Y K.Positive periodic solutions of a single-species model with feedback regulation and distributed time delay[J].Appl Math Comput,2004,153:475-484.

Zhao C,L Debnath,Wang K.Positive periodic solutions of a delayed model in population[J].Appl Math Letters,2003,16:561-565.

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

无穷分布时滞神经网络的全局指数稳定性(英文)

具有分布时滞的中立型神经网络周期解的存在性

脉冲周期种群动力系统的正周期解

带时滞的离散Lotka-Volterra系统周期解的存在性(英文)

具有授粉互惠关系的非自治周期植物传粉系统的持久性

Related Author

阮锴

蒋海军

胡成

董大鹏

胡成

蒋海军

方希宁

马慧婵

Related Institution

新疆大学数学与系统科学学院,新疆大学数学与系统科学学院新疆乌鲁木齐830046

⁰