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

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.

13 pages

References in corpus (2)

• Global solutions near homogeneous steady states in a multi-dimensional population model with both predator- and prey-taxis
• Global weak solutions to fully cross-diffusive systems with nonlinear diffusion and saturated taxis sensitivity