BOUNDEDNESS OF A PREDATOR-PREY MODEL WITH PREY-TAXIS AND NONLINEAR GROWTH RATE IN HIGHER DIMENSIONS

In this paper, we study initial-boundary value problem of a predator-prey model with taxis strategies and a nonlinear growth rate for the predator. The global existence and uniform boundedness of positive classical solutions in any dimension are prove strictly. The results indicate that nonlinear growth rate can restrain aggregation of predator.