Pattern formation in predator prey systems with consuming resource and prey-taxis

摘要

The paper considers predator prey models with consuming resource and prey-taxis subject to homogeneous Neumann boundary conditions. For small prey-taxis coefficients, global in time solutions are proved in any space dimension. The homogeneous steady state remains global stability for weak attractive prey-taxis sensitivity, and pattern formation can be generated for repulsive prey-taxis sensitivity. (C) 2020 Elsevier Ltd. All rights reserved.