Symmetries and exact solutions of the diffusive Holling-Tanner prey-predator model
Mathematical Physics
2024-03-01 v1 math.MP
Abstract
We consider the classical Holling-Tanner model extended on 1D space by introducing the diffusion term. Making a reasonable simplification, the diffusive Holling-Tanner system is studied by means of symmetry based methods. Lie and Q-conditional (nonclassical) symmetries are identified. The symmetries obtained are applied for finding a wide range of exact solutions, their properties are studied and a possible biological interpretation is proposed. 3D plots of the most interesting solutions are drown as well.
Keywords
Cite
@article{arxiv.2402.19098,
title = {Symmetries and exact solutions of the diffusive Holling-Tanner prey-predator model},
author = {Roman Cherniha and Vasyl' Davydovych},
journal= {arXiv preprint arXiv:2402.19098},
year = {2024}
}