期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

Extinction in a discrete Lotka-Volterra competitive system with the effect of toxic substances and feedback controls 被引量：10

Extinction in a discrete Lotka-Volterra competitive system with the effect of toxic substances and feedback controls
原文传递
导出
作者 Lijuan Chen Fengde Chen
机构地区 College of Mathematics and Computer Science Fuzhou University
出处 《International Journal of Biomathematics》 2015年第1期149-161,共13页 生物数学学报（英文版）
基金 The authors would like to thank the editor and the reviewers for their construcrive comments and suggestions which improved the quality of the paper. This work was supported by the National Natural Science Foundation of China under Grant 11401274, the National Natural Science Foundation of Fujian Province （2013J01010） and the Program for Science and Technology Development Foundation of Fuzhou University （2014-XQ-28）.
关键词 LOTKA-VOLTERRA竞争系统 二维离散 有毒物质 反馈控制 灭绝 充分条件 模拟显示 控制变量 Discrete toxic substances feedback controls permanence extinction
分类号 TP273 [自动化与计算机技术—检测技术与自动化装置] O175.14 [理学—基础数学]
  • 相关文献

参考文献24

  • 1J. Chattopadhyay, Ef[ect of toxic substances on a two-species competitive system, Ecol. Model. 84 (1996) 287 289.
  • 2F. D. Chen, Permanence and global stability of nonautonomous Lotka Volterra system with predator-prey and deviating arguments, Appl. Math. Comput. 173(2) (2006) 1082-1100.
  • 3F. D. Chen, Permanence of a single species discrete model with feedback control and delay, Appl. Math. Lett. 20(7) (2007) 729-733.
  • 4F. D. Chen, Z. Li, X. X. Chen and J. Laitochov, Dynamic behaviors of a delay differential equation model of plankton allelopathy, Y. Comput. Appl. Math. 206(2) (2007) 733-754.
  • 5Y. H. Fan and L.-L. Wang, Permanence for a discrete model with feedback control and delay, Discrete Dynam. Nat. Soc. 2008 (2008) 945109, 8 pp.
  • 6H. X. Hu, Z. D. Teng and H. J. Jiang, On the permanence in nonautonomous Lotka Volterra competitive system with pure delays and feedback controls, Nonlinear Anal. Real World Appl. 10(3) (2009) 1803 1815.
  • 7H. F. Huo and W. T. Li, Positive periodic solutions of a class of delay differential system with feedback control, Appl. Math. Comput. 148(1) (2004) 35-46.
  • 8Z. Li and F. D. Chen, Extinction in two-dimensional nonautonomous Lotka Volt- erra systems with the effect of toxic substances, Appl. Math. Comput. 182(1) (2006) 684-690.
  • 9Z. Li and F. D. Chen, Extinction in two-dimensional discrete Lotka Volterra com- petitive system with the effect of toxic substances, Dynam. Contin. Discrete Impuls. Syst. Ser. B Appl. Algorithms 15 (2008) 165-178.
  • 10Z. Li, F. D. Chen and M. X. He, Asymptotic behavior of the reaction-diffusion model of plankton allelopathy with nonlocal delays, Nonlinear Anal. Real World Appl. 12(3) (2011) 1748-1758.

同被引文献21

  • 1Qin W J,Liu Z J,Chen Y P.Permanence and global stability of positive periodic solutions of a discrete competitive system[J].Discrete Dynamics in Nature and Society,2009(2009):Article ID 830537,13.
  • 2Wang Q L,Liu Z J.Uniformly asymptotic stability of positive almost periodic solutions for a discrete competitive system[J].Journal of Applied Mathematics,2013(2013):Article ID 182158,9.
  • 3Wang Q L,Liu Z J,Li Z X.Positive almost periodic solutions for a discrete competitive system subject to feedback controls[J].Journal of Applied Mathematics,2013(2013):Article ID 429163,14.
  • 4Yu S B.Permanence for a discrete competitive system with feedback controls[J].Communications in Mathematical Biology and Neuroscience,2015(2015):Article ID 16.
  • 5Li Z,Chen F D.Extinction in two dimensional discrete Lotka-Volterra competitive system with the effect of toxic substances[J].Dynamics of Continuous,Discrete and Impulsive Systems,Series B:Applications&Algorithms,2008,15(2):165-178.
  • 6Chen F D,Gong X J,Chen W L.Extinction in two dimensional discrete Lotka-Volterra competitive system with the effect of toxic substances(11)[J].Dynamics of Continuous,Discrete and Impulsive Systems,Series B:Applications&Algorithms,2013,20(4):449-461.
  • 7Chen F D.Permanence for the discrete mutualism model with time delays[J].Mathematical and Computer Modelling,2008,47(3):431-435.
  • 8李忠.具反馈控制修正Leslie-Gower和Holling Ⅱ功能性反应捕食系统的持久性和全局吸引性[J].数学的实践与认识,2011,41(7):126-130. 被引量：9
  • 9陈凤德,赵亮.一类非自治两种群浮游生物相克模型的绝灭性[J].沈阳大学学报（自然科学版）,2014,26(1):1-3. 被引量：5
  • 10杨坤,王海娜,陈凤德.反馈控制Lotka-Volterra合作系统稳定性研究[J].应用数学,2014,27(2):243-247. 被引量：10

引证文献10

二级引证文献13

International Journal of Biomathematics
2015年 第1期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部