The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model |
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Authors: | Yuzo Hosono |
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Institution: | (1) Department of Information and Communication Sciences, Kyoto Sangyo University, Kyoto 603, Japan |
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Abstract: | This paper concerns the minimal speed of traveling wave fronts for a two-species diffusion-competition model of the Lotka-Volterra
type. An earlier paper used this model to discuss the speed of invasion of the gray squirrel by estimating the model parameters
from field data, and predicted its speed by the use of a heuristic analytical argument. We discuss the conditions which assure
the validity of their argument and show numerically the existence of the realistic range of parameter values for which their
heuristic argument does not hold. Especially for the case of the strong interaction of two competing species compared with
the intraspecific competition, we show that all parameters appearing in the system affect the minimal speed of invasion.
Dedicated to the Memory of Akira Okubo |
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