title: Bistable waves for a class of cooperative reaction-diffusion systems.
abstract: In this paper, we consider a class of coupled cooperative reaction-diffusion systems, in which one population (or subpopulation) diffuses while the other is sedentary. We use the shooting method to prove the existence of the bistable travelling wave, and then obtain its global attractivity with phase shift and uniqueness (up to translation) via the dynamical system approach. The results are applied to some specific examples of reaction-diffusion population models.
authors.affiliation: Department of Mathematics and Statistics, Memorial University of Newfoundland, St John's, NL, Canada.
authors.forename: Yu
authors.initials: Y
authors.lastname: Jin
authors.forename: Xiao-Qiang
authors.initials: XQ
authors.lastname: Zhao
mesh_terms: D008962:Models, Theoretical; D011157:Population Dynamics