Global boundedness of a three-species spatial intraguild predation model with alarm-taxis

Abstract

The directional motivation of predator is influenced by the density of prey and its alarm call, this paper focuses on a three-species spatial intraguild predation model involving prey-taxis and alarm-taxis. By energy estimates and heat semigroup theory, we prove that this model possesses a bounded and global classical solution in $N$-dimensional space ($N\ge 3$) with Neumann boundary conditions.