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.
Wang and M.X.Wang, Boundedness and global stabili ty of the two-predator and one- prey models 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.