期刊文献+

A DELAYED RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH STAGE-STRUCTURED AND IMPULSIVE EFFECT 被引量:1

A DELAYED RATIO-DEPENDENT PREDATOR-PREY SYSTEM WITH STAGE-STRUCTURED AND IMPULSIVE EFFECT
原文传递
导出
摘要 In this paper, a delayed ratio-dependent Holling-III predator-prey system with stagestructured and impulsive stocking on prey and continuous harvesting on predator is considered. The authors obtain sufficient conditions of the global attractivity of predator-extinction periodic solution and the permanence of the system. These' results show that the behavior of impulsive stocking on prey plays an important role for the permanence of the system. The authors also prove that all solutions of the system are uniformly ultimately bounded. The results show that the biological resource management is effective and reliable. Key words Globally attractivity, impulsive effect, permanence, ratio-dependent, stage-structured.
作者 Zuxiong LI
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2011年第6期1118-1129,共12页 系统科学与复杂性学报(英文版)
关键词 Globally attractivity impulsive effect PERMANENCE RATIO-DEPENDENT stage-structured. 捕食系统 比率依赖 脉冲效应 结构 时滞 一致最终有界 充分条件 全局吸引
  • 相关文献

参考文献1

二级参考文献11

  • 1Z. Agur, L. Cojocaru, G. Mazor, R. Anderson, and Y. Danon, Pulse mass measles vaccination across age cohorts, in Pro. Natl. Acad. Sci. USA, 1993, 90(4): 11698-11702.
  • 2F. N. M. Al-Showaikh and E. H. Twizell, One-dimensional measles dynamics, Appl. Math. Comput., 2005, 152(1): 169-194.
  • 3R. M. Andersonand R. M. May, Population biology of infectious diseases I, Nature, 1979, 180(5721): 361-367.
  • 4K. L. Cooke and P. van Den Driessche, Analysis of an SEIRS epidemic model with two delays, J. Math. Biol., 1996, 35(2): 240-260.
  • 5E. Beretta and Y. Takeuchi, Global stability of an SIR epidemic model with time delays, J. Math. Biol., 1995, 33(3): 250-260.
  • 6E. Beretta and Y. Takeuchi, Convergence results in SIR epidemic model with varying population sizes, Nonlinear Analysis, 1997, 28(12): 1909-1921.
  • 7Y. Takeuchi, W. Ma, and E. Beretta, Global asymptotic properties of a delay SIR epidemic model with finite incubation times, Nonlinear Analysis, 2000, 42(6): 931-947.
  • 8X. Y. Song and L. S. Chen, Optimal harvesting and stability for a two-species competitive system with stage structure, Math. Biosci., 2001, 170(2): 173-186.
  • 9M. C. Schuette, A qualitative analysis of a model for the transmission of varicella-zoster virus, Math. Biosci., 2003, 182(2): 113-126.
  • 10D. D. Bainov and P. S. Simeonov, Impulsive Differential Equations: Periodic Solutions and Applications, Longman Scientific and Technical, New York, 1993.

共引文献3

同被引文献1

引证文献1

二级引证文献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