Global solutions for a general predator-prey model with prey-stage structure and cross-diffusion

Abstract

In this paper, a cross-diffusion predator-prey model with general functional response and stagestructure for the prey is analyzed. The global existence of classical solutions to the system of strong coupled reaction-diffusion type is proved when the space dimension less than ten by the energy estimates and the bootstrap arguments. The crucial point of the proof is to deal with the cross-diffusion term and the nonlinear predation term .