Traveling waves for a reaction–diffusion–advection system with interior or boundary losses

Thomas Giletti · Comptes Rendus Mathématique · 2011

This Note deals with the existence and qualitative properties of traveling wave solutions of a nonlinear reaction–diffusion system with losses inside the domain. In particular, we show the existence of a continuum of admissible speeds of traveling waves. Lastly, by considering losses concentrated near the boundary of the domain, these results are compared with those already known in the case of losses on the boundary.

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