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On the Periodic Lotka–Volterra Competition Model

✍ Scribed by J.C. Eilbeck; J. López-Gómez

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
344 KB
Volume
210
Category
Article
ISSN
0022-247X

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✦ Synopsis

We analyze the existence, stability, and multiplicity of T-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. ᮊ 1997 Academic Press 0 0 we shall assume that ⌳ 4 0 and M 4 0 because this condition is needed to show some of the main results of this paper. For example, if we regard 58

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