Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



The complete classification of asymptotic behavior for bounded cooperative Lotka-Volterra systems with the assumption (SM)

Author: J. F. Jiang
Journal: Quart. Appl. Math. 56 (1998), 37-53
MSC: Primary 92D25; Secondary 34C11
DOI: https://doi.org/10.1090/qam/1604872
MathSciNet review: MR1604872
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Abstract: Assume that the $ n$-dimensional Lotka-Volterra system is cooperative with the assumption $ \left( SM \right) : {a_{ii}} < 0, {a_{ij}} > 0$ for all $ i \ne j$, and all solutions of the system are bounded. Then we give a complete classification of the behavior of the solutions. This classification does not require any restriction on the auto-increase coefficients.

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DOI: https://doi.org/10.1090/qam/1604872
Article copyright: © Copyright 1998 American Mathematical Society

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