Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system. - Roman Cherniha; Vasyl' Davydovych (Math. Comput. Model., 2011)

Nonlinear reaction-diffusion systems with a non-constant diffusivity: Conditional symmetries in no-go case. - Roman Cherniha; Vasyl' Davydovych (Appl. Math. Comput., 2015)

Lie symmetries of the shigesada-Kawasaki-Teramoto system. - Roman Cherniha; Vasyl' Davydovych; Liliia Muzyka (Commun. Nonlinear Sci. Numer. Simul., 2017)

Lie Symmetries of Nonlinear Parabolic-Elliptic Systems and Their Application to a Tumour Growth Model. - Roman Cherniha; Vasyl' Davydovych; John R. King (Symmetry, 2018)

Lie Symmetry of the Diffusive Lotka-Volterra System with Time-Dependent Coefficients. - Vasyl' Davydovych (Symmetry, 2018)

Lie symmetries, reduction and exact solutions of the (1+2)-dimensional nonlinear problem modeling the solid tumour growth. - Roman Cherniha; Vasyl' Davydovych (Commun. Nonlinear Sci. Numer. Simul., 2020)

Exact Solutions of a Mathematical Model Describing Competition and Co-Existence of Different Language Speakers. - Roman Cherniha; Vasyl' Davydovych (Entropy, 2020)

A Mathematical Model for the COVID-19 Outbreak and Its Applications. - Roman Cherniha; Vasyl' Davydovych (Symmetry, 2020)

Construction and application of exact solutions of the diffusive Lotka-Volterra system: A review and new results. - Roman Cherniha; Vasyl' Davydovych (Commun. Nonlinear Sci. Numer. Simul., 2022)

A Mathematical Model for Transport in Poroelastic Materials with Variable Volume: Derivation, Lie Symmetry Analysis and Examples - Part 2. - Roman Cherniha; Vasyl' Davydovych; Joanna Stachowska-Pietka; Jacek Waniewski (Symmetry, 2022)

The Shigesada-Kawasaki-Teramoto model: Conditional symmetries, exact solutions and their properties. - Roman Cherniha; Vasyl' Davydovych; John R. King (Commun. Nonlinear Sci. Numer. Simul., 2023)

Reaction-Diffusion Equations in Mathematical Models Arising in Epidemiology. - Vasyl' Davydovych; Vasyl' Dutka; Roman Cherniha (Symmetry, 2023)