On the periodic Lotka-Volterra competition model

J. C. Eilbeck; J. López-Gómez

doi:10.1006/jmaa.1997.5367

On the periodic Lotka-Volterra competition model

J. C. Eilbeck, J. López-Gómez

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

We analyze the existence, stability, and multiplicity ofT-periodic coexistence states for the classical nonautonomous periodic Lotka-Volterra competing species model. This is done by treating the average values of the birth rates of species as parameters, and studying the global structure of the set of coexistence states as these parameters vary. As a result of this analysis, we can explain the interesting differences between the results for the periodic case and the associated autonomous model. © 1997 Academic Press.

Original language	English
Pages (from-to)	58-87
Number of pages	30
Journal	Journal of Mathematical Analysis and Applications
Volume	210
Issue number	1
DOIs	https://doi.org/10.1006/jmaa.1997.5367
Publication status	Published - 1 Jun 1997

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10.1006/jmaa.1997.5367

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AB - We analyze the existence, stability, and multiplicity ofT-periodic coexistence states for the classical nonautonomous periodic Lotka-Volterra competing species model. This is done by treating the average values of the birth rates of species as parameters, and studying the global structure of the set of coexistence states as these parameters vary. As a result of this analysis, we can explain the interesting differences between the results for the periodic case and the associated autonomous model. © 1997 Academic Press.

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On the periodic Lotka-Volterra competition model

Abstract

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