Nonlinear reaction-diffusion systems – conditional symmetry, exact solutions and their applications in biology R Cherniha, V Davydovych Springer Lecture Notes in Mathematics LNM 2196, 2017 | 61 | 2017 |
A mathematical model for the COVID-19 outbreak and its applications R Cherniha, V Davydovych Symmetry 12 (6), 990, 2020 | 37 | 2020 |
Conditional symmetries and exact solutions of the diffusive Lotka–Volterra system R Cherniha, V Davydovych Mathematical and Computer Modelling 54, 1238-1251, 2011 | 37 | 2011 |
Lie and conditional symmetries of the three-component diffusive Lotka–Volterra system R Cherniha, V Davydovych Journal of Physics A: Mathematical and Theoretical 46 (18), 185204, 2013 | 29 | 2013 |
Conditional symmetries and exact solutions of nonlinear reaction–diffusion systems with non-constant diffusivities R Cherniha, V Davydovych Communications in Nonlinear Science and Numerical Simulation 17 (8), 3177-3188, 2012 | 24 | 2012 |
Lie symmetries of the Shigesada–Kawasaki–Teramoto system R Cherniha, V Davydovych, L Muzyka Communications in Nonlinear Science and Numerical Simulation 45, 81-92, 2017 | 19 | 2017 |
Construction and application of exact solutions of the diffusive Lotka–Volterra system: A review and new results R Cherniha, V Davydovych Communications in Nonlinear Science and Numerical Simulation, 106579, 2022 | 18 | 2022 |
A mathematical model for the coronavirus COVID-19 outbreak R Cherniha, V Davydovych arXiv preprint arXiv:2004.01487, 2020 | 18 | 2020 |
Nonlinear reaction–diffusion systems with a non-constant diffusivity: Conditional symmetries in no-go case R Cherniha, V Davydovych Applied Mathematics and Computation 268, 23-34, 2015 | 14 | 2015 |
A hunter-gatherer-farmer population model: Lie symmetries, exact solutions and their interpretation R Cherniha, V Davydovych European Journal of Applied Mathematics 30 (2), 338-357, 2019 | 13 | 2019 |
New conditional symmetries and exact solutions of the diffusive two-component Lotka–Volterra system R Cherniha, V Davydovych Mathematics 9 (16), 1984, 2021 | 10 | 2021 |
A reaction–diffusion system with cross-diffusion: Lie symmetry, exact solutions and their applications in the pandemic modelling RM CHERNIHA, VV DAVYDOVYCH European Journal of Applied Mathematics 33 (5), 785-802, 2022 | 8 | 2022 |
Conditional symmetries and exact solutions of a nonlinear three-component reaction-diffusion model R Cherniha, V Davydovych European Journal of Applied Mathematics 32 (2), 280-300, 2021 | 8 | 2021 |
Exact Solutions of a Mathematical Model Describing Competition and Co-Existence of Different Language Speakers R Cherniha, V Davydovych Entropy 22 (2), 154, 2020 | 8 | 2020 |
Reaction-diffusion systems with constant diffusivities: conditional symmetries and form-preserving transformations R Cherniha, V Davydovych Algebra, Geometry and Mathematical Physics, 533-553, 2014 | 8 | 2014 |
Lie symmetries of nonlinear parabolic-elliptic systems and their application to a tumour growth model R Cherniha, V Davydovych, JR King Symmetry 10 (5), 171, 2018 | 7 | 2018 |
The Shigesada–Kawasaki–Teramoto model: Conditional symmetries, exact solutions and their properties R Cherniha, V Davydovych, JR King Communications in Nonlinear Science and Numerical Simulation, 107313, 2023 | 3 | 2023 |
A Hunter-Gatherer–Farmer Population Model: New Conditional Symmetries and Exact Solutions with Biological Interpretation R Cherniha, V Davydovych Acta Applicandae Mathematicae 182 (1), 4, 2022 | 3 | 2022 |
Symmetries and exact solutions of the diffusive Holling–Tanner prey-predator model R Cherniha, V Davydovych Acta Applicandae Mathematicae 187 (1), 8, 2023 | 2 | 2023 |
A Mathematical Model for Transport in Poroelastic Materials with Variable Volume: Derivation, Lie Symmetry Analysis and Examples—Part 2 R Cherniha, V Davydovych, J Stachowska-Pietka, J Waniewski Symmetry 14 (1), 109, 2022 | 1 | 2022 |