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Applicable Analysis
An International Journal
Volume 93, 2014 - Issue 10
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Articles

Minimal wave speed and spread speed of competing pioneer and climax species

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Pages 2093-2110 | Received 24 Apr 2013, Accepted 18 Nov 2013, Published online: 06 Jan 2014
 

Abstract

In this article, for a diffusive population model describing interaction of pioneer-climax species, we explore the issues of spreading speed, linear determinacy and traveling wave fronts. Applying the theory developed by Weinberger et al. [J. Math. Biol. 2002;45:183–218], we identify some ranges of model parameters within which, the model is shown to have a single spreading speed which is linearly determinate and coincides with the corresponding minimal speed for the traveling wave fronts connecting two relevant equilibria, one being a boundary equilibrium and the other being a coexistence equilibrium.

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Acknowledgments

We would like to thank the two anonymous referees for their valuable comments which have led to an improvement of the presentation of the paper.

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