Propagating direction in the two species Lotka-Volterra competition-diffusion system

Abstract: The sign of the traveling wave speed in the two species Lotka-Volterra competition-diffusion system under strong competition provides important information about the competitive advantage of the species. To study the sign problem of the speed, we propose a mini-max characterization of the coefficients in the reaction terms when the wave speed is zero. Applying our characterization, some explicit conditions under which the speed sign can be determined are obtained.

Mathematics

Audience: researchers in the topic

Trends in Mathematical Research