Global solvability of a predator-prey model with predator-taxis and prey-taxis

Published 2 Aug 2021 in math.AP | (2108.00579v1)

Abstract: This paper is concerned with a diffusive predator-prey model with predator-taxis and prey-taxis. Based on the Schauder fixed point theorem, we prove the global existence, uniqueness and boundedness of the classical solutions under the conditions that the predator-taxis and prey-taxis effects are weak enough.

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