Forma, Vol. 11 (No. 1), pp. 1-25, 1996
Original Paper

Biological Invasion of an Organism with Separate Mobile and Stationary States: Modeling and Analysis

M. A. Lewis and G. Schmitz

Department of Mathematics, University of Utah, JWB 233, Salt Lake City, UT 84112, U.S.A.

(Received October 30, 1995; Accepted December 20, 1995)

Keywords: Biological Invasion, Wave, Mobile, Stationary, Switching

Abstract. We model a biological invasion with separate mobile and stationary states for dispersal and reproduction. Transfer terms permit organisms to switch states. Formulating the problem as a nonlinear parabolic system, we analyse traveling wave solutions and calculate the invasion speed. Results show that even when transfer rates are infinitesimally small, a rapid invasion can occur.