Bulletin of Mathematical Biology

, Volume 60, Issue 3, pp 435–448

The minimal speed of traveling fronts for a diffusive Lotka-Volterra competition model

  • Yuzo Hosono

DOI: 10.1006/bulm.1997.0008

Cite this article as:
Hosono, Y. Bull. Math. Biol. (1998) 60: 435. doi:10.1006/bulm.1997.0008


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.

Copyright information

© Society for Mathematical Biology 1998

Authors and Affiliations

  • Yuzo Hosono
    • 1
  1. 1.Department of Information and Communication SciencesKyoto Sangyo UniversityKyotoJapan