POSITIVE STEADY STATES FOR A PREY-PREDATOR CROSS-DIFFUSION SYSTEM WITH A PROTECTION ZONE AND HOLLING TYPE II FUNCTIONAL RESPONSE

摘要

This paper is concerned with the steady state problem of a prey-predator cross-diffusion system with a protection zone and Holling type II functional response. A sufficient condition for the existence of positive steady state solutions is given. Our proof is based on the bifurcation theory and some a priori estimates.