Stability of steady-state solutions to a prey–predator system with cross-diffusion☆

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Positive steady states for a prey-predator model with some nonlinear diffusion terms (2006, background): “, the global existence of time-depending solutions [1,4,10–12,25,35], the steady state problems [16,22–24,27,29,32,33], and the stability analysis for steady states [13,14,37].”
Mathematical analysis and numerical simulation of pattern formation under cross-diffusion (2013, unknown): “Several works have been proposed to investigate the existence and uniqueness of weak or global solutions for (1.1) (see [9] [10] [11] [12]) and the behavior of stationary states (see e.g. [13] [14] [15] [16] [17]).”