Boundedness of solutions to a chemotaxis–haptotaxis model with nonlocal terms

Abstract

In this paper, we consider the chemotaxis–haptotaxis model of two different types (parabolic–elliptic, fully parabolic) with nonlocal terms under Neumann boundary conditions in a bounded domain with smooth boundary. We show that the system possesses a unique global classical solution in different cases. Our results generalize and improve partial previously known ones.