Global Boundedness in a Two-species Predator-prey Chemo-taxis Model with Indirect Signal Production

In this paper, our aim is to introduce to investigate the global boundedness of the following two-species predator-prey chemotaxis model with indirect signal production under the homogeneous Neumann boundary conditions. By the method of some priori estimates and semigroup technique, for any sufficiently regular nonnegative initial data and appropriate parameter restrictions, we demonstrate that the model has a globally bounded classical solution.