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一类浮游生物植化相克时滞微分方程的周期解 被引量:15

Periodic Solution of a Delay Differential Equation of Plankton Allelopathy
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摘要 文中考虑一类周期浮游生物植化相克时滞微分方程 ,得到了系统存在一个正周期解的充分条件 . A two dimensional nonautonomous system that arises in plankton allelopathy involving discrete time delays and periodic environmental factors is considered. We obtain the conditions for the existence of periodic solution of the system.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2003年第1期8-13,共6页 Acta Mathematica Scientia
基金 国家自然科学基金 (No.1 0 1 71 1 0 6) 河南省自然科学基金 (No.0 2 1 1 0 1 0 40 0 )
关键词 浮游生物生态系统 植化植克 迭合度 时滞微分方程 周期解 Plankton ecology Allelopathy Time delay Coincidence degree.
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参考文献1

  • 1P. K. Tapaswi,A. Mukhopadhyay. Effects of environmental fluctuation on plankton allelopathy[J] 1999,Journal of Mathematical Biology(1):39~58

同被引文献84

  • 1田灿荣,许飞,刘勇.一类浮游生物植化相克时滞抛物方程的稳态解[J].Journal of Mathematical Research and Exposition,2005,25(4):727-733. 被引量:2
  • 2李秀琴,窦家维,宋国华.脉冲浮游生物植化相克模型解的渐近行为[J].生物数学学报,2006,21(2):216-224. 被引量:5
  • 3田亚品,陈斯养.N-种群Lotka-Volterra扩散竞争反馈控制生态系统的持久性和全局渐近性[J].应用数学,2007,20(3):485-490. 被引量:10
  • 4郭大均 孙经先 刘兆理.非线性常微分方程泛函方法[M].济南:山东科技出版社,1995..
  • 5MUKHOPADHYAY A, CHATTOPADHYAY J, TAPASWI P K. A delay differential equations models of plankton allelepathy [J]. Math Biosci, 1998, 149(2): 167~189
  • 6LOU Y, NI W M. Diffusion, self-Hdiffusion and cross-diffusion [J]. J Diff Eqs, 1996, 131(1): 79~131
  • 7LIN C S, NI W M, TAKAGI I. Large amplitude stationary solutions to a chemotais [J]. J Diff Eqs, 1988, 72(1): 1~27
  • 8Gopalsamy. Stability and oscillations in delay differential equations of population dynamics[J ]. Kluwer Academic Publisher, 1992, 16:44 - 88.
  • 9Huo H F, Li W T. Periodic solution of a periodic two-species competition model with delays. International J of Appl Math, 2003, 12(1): 13-21.
  • 10Huo H F, Li W T, Cheng S S. Periodic solutions of two-species diffusion models with continuous time delays. Demonstratio Mathematica, 2002, 35(2): 433-446.

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