TRAVELING WAVE SOLUTIONS IN ADVECTION HYPERBOLIC-PARABOLIC SYSTEM WITH NONLOCAL DELAY.

This paper is concerned with a class of advection hyperbolicparabolic systems with nonlocal delay. We prove that the wave profile is described by a hybrid system that consists of an integral transformation and an ordinary differential equation. By considering the same problem for a properly parameterized system and the continuous dependence of the wave speed on the parameter involved, we obtain the existence and uniqueness of traveling wave solutions in advection hyperbolic-parabolic system with nonlocal delay under bistable assumption. The inuence of advection on the propagation speed is also considered. [ABSTRACT FROM AUTHOR]