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Positivity

, Volume 7, Issue 3, pp 185–194 | Cite as

On the ω-limit Set Dichotomy of Cooperating Kolmogorov Systems

  • Jifa Jiang
  • Yi Wang
Article

Abstract

The authors study the ω-limit set dichotomy of the Kolmogorov systems \(\dot x\)i=xifi(x)xi≥0, 1≤i≤n with the cooperative and irreducible hypotheses and obtain the quasiconvergence almost everywhere when n=3, which gives an affirmative answer to the open problem by Smith [9, p.72] in the case of n=3.

cooperative systems ω-limit set irreducible convergence equilibrium 

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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Jifa Jiang
    • 1
  • Yi Wang
    • 1
  1. 1.Department of MathematicsUniversity of Science and Technology of ChinaAnhuiP. R. China

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