期刊文献+

时滞捕食者—食饵系统的稳定性 被引量:1

Stability of Predator-Prey System with Delays
下载PDF
导出
摘要 考虑一类带两个时滞项的捕食者—食饵系统的稳定性 ,利用比较方法得到系统局部渐近稳定的充分条件 ,放宽了已有文献对时滞项的限制。同时该方法可以推广到具多时滞和变系数 ,特别是周期系统 。 In this paper,stability for predator prey system with two delays has been discussed.Some sufficient conditions have been obtained to guarantee the locally asymptotical stability of the equilibrium via the comparison approach.And,the technique of the comparison approach used in this paper can also be used to analyze the predator prey system with more general delays and nonautonomous coefficients,especially periodic and almost periodic coefficients.
作者 曾志刚
出处 《湖北师范学院学报(自然科学版)》 2002年第3期24-26,共3页 Journal of Hubei Normal University(Natural Science)
关键词 时滞捕食者-食饵系统 局部渐近稳定性 概周期系统 平衡点 perdator prey system delay stability
  • 相关文献

参考文献5

  • 1Wang W,Ma Z. Harmless delays for uniform persistence,J. Math. Anal. Appl. , 1991,158:256
  • 2He X. Stability and delays in a predator-preysystem,J. Math. Anal,Appl.,1996,198:355
  • 3Yoneyama T,Sugie J. On the stability region of differential equations with two delays,Funkcialaj Ekvacioj, 1998,31:233
  • 4Kuang Y. Delay differential equations with applications in population dynamics,New York:Academic press, 1993
  • 5Freedman H I ,Rao V S H. Stability criteria for a system involoving two time delays. SIAMJ. Appl. Math. 1986,46:552

同被引文献2

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