期刊文献+

一类具有时滞的脉冲周期捕捞系统正周期解的存在性(英文)

Existence of Positive Periodic Solutions of an Impulsive Periodic Fishing Model with Delay
原文传递
导出
摘要 研究一类带时滞的脉冲周期捕捞的正周期解的存在性,利用Gaines与Mawhin的迭合度理论中的连续定理,以及一些先验估计,得到了所研究的系统至少存在一个正周期解的充分条件. In this paper,an impulsive periodic fishing model with time delay is investigated.Using Gaines and Mawhin's continuation theorem from coincidence degree theory as well as some prior estimates,we get sufficient conditions for the existence of at least one positive periodic solutions of the system.
出处 《生物数学学报》 2015年第1期17-24,共8页 Journal of Biomathematics
基金 supported by Distinguished Expert Science Foundation of Naval Aeronautical and Astronautical University
关键词 脉冲 正周期解 迭合度 渔业 Impulse Positive periodic solution Coincidence degree Fishery
  • 相关文献

参考文献12

  • 1Xiaoping Wang.Stability and existence of periodic solutions for a time-varying fishing model with delay[J]. Nonlinear Analysis: Real World Applications . 2009 (5)
  • 2S.J. Yang,B. Shi.Periodic solution for a three-stage-structured predator–prey system with time delay[J]. Journal of Mathematical Analysis and Applications . 2007 (1)
  • 3L. Berezansky,L. Idels.Stability of a time-varying fishing model with delay[J]. Applied Mathematics Letters . 2007 (5)
  • 4L. Berezansky.Delay differential equations with Hill’s type growth rate and linear harvesting[J]. Computers and Mathematics with Applications . 2005 (4)
  • 5Hai-Feng Huo,Wan-Tong Li.Existence and global stability of periodic solutions of a discrete predator–prey system with delays[J]. Applied Mathematics and Computation . 2003 (2)
  • 6Yongkun Li,Yang Kuang.Periodic Solutions of Periodic Delay Lotka–Volterra Equations and Systems[J]. Journal of Mathematical Analysis and Applications . 2001 (1)
  • 7H. I. Freedman,Jianhong Wu.Periodic solutions of single-species models with periodic delay. SIAM Journal on Mathematical Analysis . 1992
  • 8Lakshmikantham V,Bainov DD,Simeonov PS.Theory of impulsive differential equations[]..1989
  • 9Bainov DD,Simeonov PS.Impulsive Differential Equations: Periodic Solutions and Applications. Journal of Women s Health . 1993
  • 10Kuang Yang.Delay differential equations with applications in population dynamics. Mathematics in Science and Engineering Series . 1993

共引文献4

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