Modeling of Multifactor Taxis in a Predator–Prey System

Abstract

A model of predator–prey dynamics in a spatially heterogeneous range is considered using a system of two nonlinear equations of the diffusion–advection reaction. The pursuit–evasion activity because of the nonuniform distribution of the predator and the resource is taken into account. A numerical study of the effect of directed migration on the formation of population structures was carried out on the basis of the method of lines and staggered grids. The role of taxis in population growth in the area was analyzed, and migration parameters, which are used for the formation of stationary and oscillatory spatiotemporal patterns, were calculated.