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Boundedness of a predator-prey model with density-dependent motilities and stage structure for the predator
Electronic Research Archive 2022, 30(5): 1954-1972
Published: 15 May 2022
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In this paper, we consider a predator-prey model with density-dependent prey-taxis and stage structure for the predator. We establish the existence of classical solutions with uniform-in-time bound in a one-dimensional case. In addition, we prove that the solution stabilizes to the prey-only steady state under some conditions.

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