Extinction of species in nonautonomous Lotka-Volterra systems
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- by Shair Ahmad PDF
- Proc. Amer. Math. Soc. 127 (1999), 2905-2910 Request permission
Abstract:
A nonautonomous $n$th order Lotka-Volterra system of differential equations is considered. It is shown that if the coefficients satisfy certain inequalities, then any solution with positive components at some point will have all of its last $n-1$ components tend to zero, while the first one will stabilize at a certain solution of a logistic equation.References
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Additional Information
- Shair Ahmad
- Affiliation: Division of Mathematics and Statistics, The University of Texas at San Antonio, San Antonio, Texas 78249
- Email: ahmad@sphere.math.utsa.edu
- Received by editor(s): December 15, 1997
- Published electronically: April 23, 1999
- Additional Notes: The author wishes to acknowledge support from SISSA, Trieste, Italy, where this research was completed.
- Communicated by: Hal L. Smith
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 2905-2910
- MSC (1991): Primary 34C35; Secondary 34D05
- DOI: https://doi.org/10.1090/S0002-9939-99-05083-2
- MathSciNet review: 1636914