Global boundedness and large time behavior in a forager-exploiter model of parabolic-parabolic-elliptic type.

Abstract

This paper deals with the parabolic-parabolic-elliptic forager-exploiter model under homogeneous Neumann boundary conditions. It is shown that if the taxis effects of exploiters are suitably weak, its classical solution is globally bounded in arbitrary dimensions. Moreover, the foragers and exploiters will approach spatially homogeneous distributions in the large time limit.