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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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On the nonautonomous Volterra-Lotka competition equations
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by Shair Ahmad PDF
Proc. Amer. Math. Soc. 117 (1993), 199-204 Request permission

Abstract:

A nonautonomous competitive Lotka-Volterra system of two equations is considered. It is shown that if the coefficients are continuous and satisfy certain inequalities, then any solution that is positive at some point has the property that one of its components vanishes while the other approaches a certain solution of the logistic equation.
References
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 117 (1993), 199-204
  • MSC: Primary 34C99; Secondary 92D25
  • DOI: https://doi.org/10.1090/S0002-9939-1993-1143013-3
  • MathSciNet review: 1143013