期刊文献+

一类离散的Leslie-Gower捕食被捕食模型的稳定性 被引量:1

Stability Analysis of a Discrete Leslie-Gower Predator-prey Model
下载PDF
导出
摘要 研究了一类离散的Leslie-Gower捕食被捕食模型.通过利用差分方程比较原理和迭代法,得到了系统正平衡点全局稳定性的充分条件. In this paper, a discrete Leslie-Gower predator-prey model is investigated. By applying the comparison principle of difference equation and an iteration scheme, sufficient conditions are obtained for the global stability of the positive equilibrium.
作者 张蓓 滕志东
出处 《新疆大学学报(自然科学版)》 CAS 2013年第1期19-24,共6页 Journal of Xinjiang University(Natural Science Edition)
基金 国家自然科学基金(10961022 10901130) 新疆维吾尔自治区自然科学基金(2010211A07)
关键词 离散 LESLIE-GOWER 捕食被捕食模型 稳定性 迭代法 Discrete Leslie-Gower Predator-prey model Stability Iteration scheme
  • 相关文献

参考文献9

  • 1Leslie P. Some further notes on the use of matrices in population mathematics[J].Biometrika,1948.213-245.
  • 2Korobeinikov A. A Lyapunov function for Leslie-Gower predator-prey models[J].Applied Mathematics Letters,2001,(6):697-699.doi:10.1016/S0893-9659(01)80029-X.
  • 3Song Y,Yuan S,Zhang J. Bifurcation analysis in the delayed Leslie-Gower predator-prey system[J].Appl Math Mod-elling,2009.4049-4061.
  • 4Huo H,Li W. Permanence and Global Stability for Nonautonomous Discrete Model of Plankton Allelopathy[J].Applied Mathematics Letters,2004,(9):1007-1013.doi:10.1016/j.aml.2004.07.002.
  • 5Yang X. Uniform persistence and periodic solutions for a discrete predator-prey system with delays[J].Journal of Mathematical Analysis and Applications,2006,(1):161-177.doi:10.1016/j.jmaa.2005.04.036.
  • 6Huo H,Li W. Stable periodic solution of the discrete periodic Leslie-Gower predator-prey model[J].Mathematical and Computer Modelling,2004.261-269.
  • 7Chen X,Chen F. Stable periodic solution of a discrete periodic Lotka-Volterra competition system with a feedback control[J].Applied Mathematics and Computation,2006,(2):1446-1454.doi:10.1016/j.amc.2006.02.039.
  • 8Chen G,Teng Z,Hu Z. Analysis of stability for a discrete ratio-dependent predator-prey system[J].Journal of Pure and Applied Algebra,2011.1-26.
  • 9Wang L,Wang M. Ordinary Difference Equation[M].Urumqi:Xinjiang Univ Press,1989.

同被引文献3

引证文献1

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