Reaction–advection random motions in inhomogeneous media

A probabilistic approach to reaction–advection systems with a finite propagation speed is developed. The convergence to traveling-wave solutions in inhomogeneous media is studied. The results are heavily based on the author’s previous paper [Branching random motions, nonlinear hyperbolic systems and travelling waves, Preprint of Simón Bolı́var University, Caracas, Venezuela, 2003, 32 pp., submitted for publication].