On dynamics of generalized competitive and cooperative systems

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概要

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• In this paper, we are concerned with $n$-dimensional generalized competitive or cooperative systems of ordinary differential equations. A result is established to show that the flow generated by a generalized cooperative and irreducible system is strongly monotone. Also, it is shown that an analogue of the Poincare-Bendixon theorem holds for three dimensional generalized competitive and dissipative systems. Finally, we provide a generalized Smale's construction.

• 東北大学の論文

著者

• Huang Lihong

  College Of Mathematics And Econometrics Hunan University

• Yi Taishan

  College of Mathematics and Econometrics, Hunan University

• Zou Xingfu

  Department of Applied Mathematics, University of Western Ontario

• Yi Taishan

  College Of Mathematics And Econometrics Hunan University

• Zou Xingfu

  Department Of Applied Mathematics University Of Western Ontario

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