Traveling wave solution in a diffusive predator-prey system with Holling type-IV functional response (Q1724062)

Summary: We establish the existence of traveling wave solution for a reaction-diffusion predator-prey system with Holling type-IV functional response. For simplicity, only one space dimension will be involved, the traveling solution equivalent to the heteroclinic orbits in \(R^3\). The methods used to prove the result are the shooting argument and the invariant manifold theory.