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