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 Earrings derive the existence of classical solutions with uniform-in-time bound and global stability for steady states under suitable conditions through the Lyapunov functionals.In addition, by linear instability analysis and numerical simulations, we conclude that the prey density-dependent motility function can trigger the periodic pattern formation when it is Fitted sheet monotone increasing.