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

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In this nautica voyage hajuvesi 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 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 icon airflite goggles simulations, we conclude that the prey density-dependent motility function can trigger the periodic pattern formation when it is monotone increasing.