Abstract
We are interested in the traveling wave solutions of reaction-diffusion equations. The model considered in the thesis is a FitzHugh-Nagumo type system in which one activator interacting with two inhibitors. In this system there are three equilibria, and two of them are stable. We employ variational arguments to a functional with non-local terms. With the aide of a truncation argument, we obtain a traveling front from one stable equilibrium moving towards another stable equilibrium.