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具Gilpin-Ayala模型的正解唯一性与周期吸引性 被引量:1

Uniqueness and attractance of positive periodic solutions in Gilpin-Ayala
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摘要 利用上下解原理、最大值原理及分析技巧,研究了一类具有驱动扩散的Gilpin-Ayala模型,获得该模型正解的存在唯一性,以及周期吸引性的充分条件. This paper is devoted to the study Gilpin-Ayala model with driven diffusion by applying the method of upper and lower solution and the maximum principle and other analytical techniques.Existence and uniqueness of positive solutions and sufficient conditions for the attractivity of positive periodic of this model are obtained.
出处 《湖南文理学院学报(自然科学版)》 CAS 2012年第1期7-10,共4页 Journal of Hunan University of Arts and Science(Science and Technology)
关键词 上下解原理 最大值原理 一致椭圆性 the method of upper and lower solution the maximum principle uniformly elliptic
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参考文献2

  • 1Pao C V. Nonlinear parabolic and elliptic equations[M].New York:Plenum,1992.
  • 2Zhou L,Fu Y. Existence and stability of periodic quasisolutions in nonlinear parabolic systems with discrete delays[J].Journal of Mathematical Analysis and Applications,2000.139-161.

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