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具时滞的两个同种群非自治竞争系统的周期正解(英文)

Positive periodic solution to a two-identical species nonautonomous competition system with time delay
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摘要 应用重合度论中的延拓定理 ,获得了具时滞的两个同种群非自治竞争系统的周期正解存在的充分条件 . By using the continuation theorem of coincidence degree theory, sufficient conditions are obtained for the existence of a positive periodic solution to a two-identical species nonautonomous competition system with time delay.
机构地区 云南大学数学系
出处 《海南师范学院学报(自然科学版)》 2003年第2期12-19,共8页 Journal of Hainan Normal University:Natural Science
关键词 同种群非自治竞争系统 周期正解 时滞 重合度论 延拓定理 Fredholm映射 competition system positive periodic solution time delay Fredholm mapping.
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参考文献5

  • 1Leon J A, Tumpson D B. Competition between two species for two complementary or substitutable resources[J]. J.Theor. Biol, 1975,50 : 185 - 201.
  • 2Vander M J.Loose coupling of predator- prey cycles: Entrainment, chaos, and intermittency in the classic Macarthur consumer - resource equations[J]. American Naturalist, 1993,141 : 687 - 716.
  • 3LI Yongkun, KUANG Yang. Periodic solutions of periodic delay lotka- volterr equations and systems[J]. J. Math.Anal. Appl,2001,255:260 - 280.
  • 4LI Yongkun. On a periodic mutualism mode[J]. ANZIAM J.2001,42:1345- 1353.
  • 5Gains R E, Mawhin J L. Coincidence Degree and Nonlinear Differential Equations[ M]. Berlin: Springer- Verlag,1997.

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