Open AccessIDEAL FREE DISTRIBUTION IN DIFFUSION-ADVECTION-REACTION MODELS ON A HETEROGENEOUS HABITAT
Author(s) -
P. A. Zelenchuk,
V. G. Tsybulin
Publication year - 2021
Publication title -
èkologiâ. èkonomika. informatika. tom 1: sistemnyj analiz i modelirovanie èkonomičeskih i èkologičeskih sistem
Language(s) - English
Resource type - Journals
ISSN - 2500-395X
DOI - 10.23885/2500-395x-2021-1-6-52-56
Subject(s) - advection , diffusion , ideal (ethics) , distribution (mathematics) , ideal free distribution , statistical physics , habitat , environmental science , mechanics , geography , mathematics , ecology , physics , thermodynamics , mathematical analysis , biology , epistemology , philosophy
. A model of the “predator – prey” system based on the diffusion-reaction-advection equations describing the multifactorial taxis of both predator and prey is presented. The spatial distribution of species in a heterogeneous area taking into account the concept of ideal free distribution (IFD) is analyzed. Relationships have been established for the parameters at which the IFD is realized. The transformations of the solutions are studied when the parameters deviate from the conditions ensuring the IFD, as well as the occurrence of self-oscillatory modes.