期刊文献+

离散时间的互惠系统的正周期解的存在性 被引量:11

Existence of Positive Periodic Solution for Difference Equations of a Cooperative System
下载PDF
导出
摘要 利用重合度理论中的延拓定理研究了一类具有周期系数的离散时间的差分互惠系统模型.得到了该系统正周期解存在的充分条件. In this paper, the existence of positive periodic solution to a cooperatative modelgoverned by difference equations with periodic coefficients is established using the method of co-incidence degree.
出处 《生物数学学报》 CSCD 2004年第3期271-279,共9页 Journal of Biomathematics
基金 国家自然科学基金(10171010和10201005) 国家教育部科研重点基金(01061)
关键词 互惠系统 周期解 差分方程 重合度 Cooperative system Difference equation Coincidence degree Positive periodic solution
  • 相关文献

参考文献11

  • 1[1]Li Y K. Periodic solutions of a periodic delay predator-prey system[J]. Proc Amer Math Sco, 1999,127(5):1331-1335.
  • 2[2]Fan M, Wang K. Existence and global attractivity of positive periodic solutions of periodic n-species LotkaVolterra competition systems with several deviating arguments[J]. Math Biosci, 1999, 160(1):47-61.
  • 3李永昆.一类时滞微分方程周期正解的存在性和全局吸引性[J].中国科学(A辑),1998,28(2):108-118. 被引量:35
  • 4[4]Smith H L. Periodic solutions of periodic competitive and cooperative systems[J]. SIAM J Math Anal, 1986,17(4):1289-1318.
  • 5[5]May R M. Theoretical Ecology, Principles and Applications[M]. Sounders, philadelphia, 1976.
  • 6[6]Jing'an Cui, Chen L S. Global Asymptotic Stability in a Nonautonomous Cooperative System[J]. System Science and Mathematics Sciences, 1993, 6(1):39-44.
  • 7[8]Meng Fan, Sheba Agarmal. Periodic solutions for a class of discrete time competition systems[J]. Nonlinear Studies, 2002, 9(3):249-261.
  • 8[9]Fan M, Wang K. Periodicity solutions of a discrete time nonautonomous ratio-dependent predator-prey system[J]. Math and Compu Modelling, 2002, 35(3):951-961.
  • 9[10]Gaines R E, Mawhin J L. Coincidence Degree and Nonlinear Differential Equations[M]. Berlin: SpringerVerlag, 1977. 56-69.
  • 10[11]Zhang R Y. Periodic solutions of a single species discrete population model with periodic harvest/stock[J].Computers and Mathematics with Applications, 2000, 39(1): 77-90.

二级参考文献7

共引文献34

同被引文献75

引证文献11

二级引证文献9

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