Mathematics > Analysis of PDEs
[Submitted on 2 Aug 2021
]
Title: Global solvability of a predator-prey model with predator-taxis and prey-taxis
Title: 捕食者-被捕食者模型在捕食者趋化性和被捕食者趋化性下的全局可解性
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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