Volume 20, Number 1, Spring 2012
COMPETITION OF FAST AND SLOW MOVERS
FOR RENEWABLE AND DIFFUSIVE
SILOGINI THANARAJAH AND HAO WANG
Abstract. In many studies of mathematical ecology, researchers have been discussing the competition of fast and slow species in the presence of a renewable and diffusive resource. To explore this competition, most of these studies have used the Lotka-Volterra competition model with diffusion, which includes resources implicitly. A mechanistic model should explicitly incorporate resource dynamics. We construct such a resource-explicit competition model with linear or nonlinear resource uptake functions. Conclusions from our linear model are consistent with Lotka-Volterra type models: i) the fast mover is excluded and the slow mover stays at a positive constant level; ii) both go extinct. Our nonlinear model exhibits two new outcomes: iii) the fast mover is excluded and the slow mover survives at oscillations; iv) oscillatory coexistence. If we further assume the fast mover has a larger resource uptake rate than the slow mover, it is possible that v) the slow mover is excluded by the fast mover.