scnews: "PDE Seminar: Cherniha -- Symmetries and exact solutions of the diffusive Holling-Tanner prey-predator model" by Daniel Daners

Roman M. Cherniha
National University of Kyiv-Mohyla Academy, Ukraine and University of Nottingham, UK
Mon 31st Mar 2025, 11:00-12:00, Carslaw Room 535

Abstract

We consider the classical Holling-Tanner model (Tanner J.T.: Ecology 56, 855-867 (1975)) extended on 1D space by introducing diffusion terms. 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 and discussed as well.

The talk is mainly based on the results published in the paper ‘Symmetries and Exact Solutions of the Diffusive Holling-Tanner Prey-Predator Model, Acta Appl. Math 187:8 (2023) https://doi.org/10.1007/s10440-023-00600-7

This is joint work with Vasyl’ Davydovych (Institute of Mathematics, NAS of Ukraine).

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