The paper proves global existence and boundedness plus stability of homogeneous equilibria for a density-dependent preytaxis predator-prey system and uses numerics to exhibit multiple classes of spatio-temporal patterns.
Tao, Global existence of classical solutions to a p redator-prey model with nonlinear prey-taxis
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Global dynamics and spatio-temporal patterns of predator-prey systems with density-dependent motion
The paper proves global existence and boundedness plus stability of homogeneous equilibria for a density-dependent preytaxis predator-prey system and uses numerics to exhibit multiple classes of spatio-temporal patterns.