On the nonautonomous Volterra-Lotka competition equations

Author:
Shair Ahmad

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

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Abstract | References | Similar Articles | Additional Information

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.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1993-1143013-3

Keywords:
Positive,
bounded,
continuous,
logistic equation,
uniform convergence

Article copyright:
© Copyright 1993
American Mathematical Society