The work examines the predator-prey system in a linear range. The model takes into account the non-linear growthin the number of victims. The area is representedby a system of zones between which individuals are exchanged. Fixed points and their stability conditions are defined forthe local model. Numerical solutions with an inhomogeneous distribution of individuals acrossthe chambers are constructed for the chamber model. Heterogeneity of distribution occurs whenthe predator is highly mobile.