7 citations · 11 across the 2 of their papers we have counts for
2 papers
math-ph2024★ 4 cited
Symmetries and exact solutions of the diffusive Holling-Tanner prey-predator model
Roman Cherniha, Vasyl' Davydovych
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 st…
math-ph2024★ 7 cited
The Shigesada-Kawasaki-Teramoto model: conditional symmetries, exact solutions and their properties
Roman Cherniha, Vasyl' Davydovych, John R. King
We study a simplification of the well-known Shigesada-Kawasaki-Teramoto model, which consists of two nonlinear reaction-diffusion equations with cross-diffusion. A complete set of…