Bistable waves for a class of cooperative reaction–diffusion systems
Open Access
- 1 April 2008
- journal article
- research article
- Published by Taylor & Francis in Journal of Biological Dynamics
- Vol. 2 (2) , 196-207
- https://doi.org/10.1080/17513750701834636
Abstract
In this paper, we consider a class of coupled cooperative reaction–diffusion systems, in which onepopulation (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.Keywords
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