Global boundedness of solutions in a reactiona??diffusion system of Beddingtona??DeAngelis-type predatora??prey model with nonlinear prey-taxis and random diffusion

摘要

In this paper, a reactiona??diffusion system of a predatora??prey model with Beddingtona??DeAngelis functional response is considered. This model describes a prey-taxis mechanism that is an immediate movement of the predator u in response to a change of the prey??v (which leads to the collection of??u). We use some approaches to prove the global existence-boundedness of classical solutions and overcome the substantial difficulty of the existence of a nonlinear prey-taxis term.