Traveling wave solutions for Gause type predator-prey systems with density dependence: A heteroclinic orbit in R4

This paper investigates the existence of traveling wave solutions for a class of diffusive Gause type predator-prey systems with linear density-dependence for predator. Using the shooting method, we establish the existence of a non-negative traveling wave solution connecting a boundary equilibrium point to the coexistence equilibrium point with the help of topological method of Wazewski Theorem and LaSalle's invariance principle.