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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The global stability of a system modeling a community with limited competition
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by J. F. Jiang PDF
Proc. Amer. Math. Soc. 125 (1997), 1381-1389 Request permission

Abstract:

In this paper the global behavior of solutions of a class of ordinary differential equations modelling a biological community of species is determined. The community consists of two competing subcommunities each of which has the property that each pair of species of the subcommunity interact in a mutually beneficial manner. Sufficient conditions are presented that the two subcommunities can coexist in a globally asymptotically stable steady state.
References
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Additional Information
  • J. F. Jiang
  • Affiliation: Department of Mathematics, University of Science and Technology of China, Hefei, China
  • Received by editor(s): November 8, 1995
  • Additional Notes: This research was supported by the National Science Foundation of China.
  • Communicated by: Hal L. Smith
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 1381-1389
  • MSC (1991): Primary 34C11; Secondary 92A15
  • DOI: https://doi.org/10.1090/S0002-9939-97-03805-7
  • MathSciNet review: 1376765