Traveling Wave Solution in a Diffusive Predator-Prey System with Holling Type-IV Functional Response

الملخص EN

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.