Wave-Blocking Phenomena in Bistable Reaction-Diffusion Systems

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Abstract
The following bistable reaction-variable diffusion systems including a parameter $\sigma $ is considered: \[ u_1 = ( d( x )u_x )_x + \frac{1}{\sigma }f( u,v ), \]\[ u_1 = ( {d( x )u_x } )_x + \sigma g( u,v ). \] Traveling wave-blocking problems are the motivation for studying the dependency of the heterogeneity of $d( x )$ on the existence of stationary solutions, which play the role of variers of traveling front or back waves.

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