Global dynamics and pattern formation for predator-prey system with density-dependent motion

Global dynamics and pattern formation for predator-prey system with density-dependent motion

Blog Article

In this paper, we concern with the predator-prey system with generalist predator and density-dependent prey-taxis in two-dimensional bounded domains.We derive the existence of Pillbox Hat classical solutions with uniform-in-time bound and global stability for steady states under suitable conditions through the Lyapunov functionals.In addition, by Top Membrane linear instability analysis and numerical simulations, we conclude that the prey density-dependent motility function can trigger the periodic pattern formation when it is monotone increasing.