2021/08/02 by Jianping Wang, Mingxin Wang, Wang, Jianping +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP
paper · pdf · doi:10.48550/arxiv.2108.00579
13 pages
arxiv created 2021/08/02 · arxiv updated 2021/08/03
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.