Instability Induced by Cross-Diffusion in a Predator-Prey Model with Sex Structure

الملخص EN

In this paper, we consider a cross-diffusion predator-prey model with sex structure.

We prove that cross-diffusion can destabilize a uniform positive equilibrium which is stable for the ODE system and for the weakly coupled reaction-diffusion system.

As a result, we find that stationary patterns arise solely from the effect of cross-diffusion.