Davydovych Vasyl'
Publications
1. R. Cherniha and V. Davydovych. Conditional symmetries and exact solutions of the diffusive Lotka–Volterra system. Math. Comput. Modelling. – 2011. – Vol. 54. – P. 1238–1251.
2. R. Cherniha and V. Davydovych. Conditional symmetries and exact solutions of nonlinear reaction–diffusion systems with non-constant diffusivities. Commun. Nonlinear Sci. Numer. Simulat. – 2012. – Vol. 17. – P. 3177–3188.
3. R. Cherniha and V. Davydovych. Lie and conditional symmetries of the three-component diffusive Lotka–Volterra system. J. Phys. A: Math. Theor. – 2013. – Vol. 46. – 185204.
4. R. Cherniha and V. Davydovych. Reaction-diffusion systems with constant diffusivities: conditional symmetries and form-preserving transformations. In Algebra, Geometry and Mathematical Physics, Springer Berlin Heidelberg. – 2014. – Vol. 85. – P. 533–553.
5. R. Cherniha and V. Davydovych. Nonlinear reaction-diffusion systems with a non-constant diffusivity: Conditional symmetries in no-go case. Appl. Math. Comput. – 2015. – Vol. 268. – P. 23–34.
6. R. Cherniha, V. Davydovych and L. Muzyka. Lie symmetries of the Shigesada–Kawasaki–Teramoto system. Commun. Nonlinear Sci. Numer. Simulat. – 2017. – Vol. 45. – P. 81–92.
7. R. Cherniha and V. Davydovych. Nonlinear reaction-diffusion systems — conditional symmetry, exact solutions and their applications in biology. Springer, Lecture Notes in Mathematics. – 2017 – Vol. 2196.
8. V. Davydovych. Lie Symmetry of the Diffusive Lotka–Volterra System with Time-Dependent Coefficients. Symmetry. – 2018. – Vol. 10 (2).
9. R. Cherniha, V. Davydovych and John R. King. Lie Symmetries of Nonlinear Parabolic-Elliptic Systems and Their Application to a Tumour Growth Model. Symmetry. – 2018. – Vol. 10 (5).
10. V. Davydovych. Group Classification of a Class of Kolmogorov Equations with Time-Dependent Coefficients. J. Math. Sci. – 2018. – Vol. 231. – P. 598–607.
11. R. Cherniha and V. Davydovych. A hunter-gatherer–farmer population model: Lie symmetries, exact solutions and their interpretation. Eur. J. Appl. Math. — 2019. — Vol. 30. — P. 338–357.
12. R. Cherniha and V. Davydovych. Lie symmetries, reduction and exact solutions of the (1+ 2)-dimensional nonlinear problem modeling the solid tumour growth. Commun. Nonlinear Sci. Numer. Simulat. – 2020. – Vol. 80, 104980.
13. R. Cherniha and V. Davydovych. Exact solutions of a mathematical model describing competition and co-existence of different language speakers. Entropy. – 2020. – Vol. 22 (2).
14. R. Cherniha and V. Davydovych. A mathematical model for the COVID-19 outbreak and its applications. Symmetry. – 2020. – Vol. 12 (6).
15. R. Cherniha and V. Davydovych. Conditional symmetries and exact solutions of a nonlinear three-component reaction-diffusion model. Eur. J. Appl. Math. — 2021. — Vol. 32. — P. 280-300.
16. R. Cherniha and V. Davydovych. A mathematical model for the COVID-19 outbreak and its applications. Mathematics. – 2021. – Vol. 9 (16).
17. R. Cherniha and V. Davydovych. A reaction–diffusion system with cross-diffusion: Lie symmetry, exact solutions and their applications in the pandemic modelling. Eur. J. Appl. Math. — 2022. — Vol. 33. — P. 785-802.
18. R. Cherniha, V. Davydovych, J. Stachowska-Pietka and J. Waniewski. A mathematical model for transport in poroelastic materials with variable volume: derivation, Lie symmetry analysis and examples—Part 2. Symmetry. – 2022. – Vol. 14 (1).
19. R. Cherniha and V. Davydovych. Construction and application of exact solutions of the diffusive Lotka–Volterra system: A review and new results. Commun. Nonlinear Sci. Numer. Simulat. – 2022. – Vol. 113, 106579.
20. R. Cherniha and V. Davydovych. A hunter-gatherer–farmer population model: new conditional symmetries and exact solutions with biological interpretation. Acta Applicandae Mathematicae. – 2022. – Vol. 182 (1).
21. R. Cherniha, V. Davydovych and J.R. King. The Shigesada–Kawasaki–Teramoto model: Conditional symmetries, exact solutions and their properties. Commun. Nonlinear Sci. Numer. Simulat. – 2023. – Vol. 124, 107313.
22. R. Cherniha and V. Davydovych. Symmetries and exact solutions of the diffusive Holling–Tanner prey-predator model. Acta Applicandae Mathematicae. – 2023. – Vol. 187 (1).
2. R. Cherniha and V. Davydovych. Conditional symmetries and exact solutions of nonlinear reaction–diffusion systems with non-constant diffusivities. Commun. Nonlinear Sci. Numer. Simulat. – 2012. – Vol. 17. – P. 3177–3188.
3. R. Cherniha and V. Davydovych. Lie and conditional symmetries of the three-component diffusive Lotka–Volterra system. J. Phys. A: Math. Theor. – 2013. – Vol. 46. – 185204.
4. R. Cherniha and V. Davydovych. Reaction-diffusion systems with constant diffusivities: conditional symmetries and form-preserving transformations. In Algebra, Geometry and Mathematical Physics, Springer Berlin Heidelberg. – 2014. – Vol. 85. – P. 533–553.
5. R. Cherniha and V. Davydovych. Nonlinear reaction-diffusion systems with a non-constant diffusivity: Conditional symmetries in no-go case. Appl. Math. Comput. – 2015. – Vol. 268. – P. 23–34.
6. R. Cherniha, V. Davydovych and L. Muzyka. Lie symmetries of the Shigesada–Kawasaki–Teramoto system. Commun. Nonlinear Sci. Numer. Simulat. – 2017. – Vol. 45. – P. 81–92.
7. R. Cherniha and V. Davydovych. Nonlinear reaction-diffusion systems — conditional symmetry, exact solutions and their applications in biology. Springer, Lecture Notes in Mathematics. – 2017 – Vol. 2196.
8. V. Davydovych. Lie Symmetry of the Diffusive Lotka–Volterra System with Time-Dependent Coefficients. Symmetry. – 2018. – Vol. 10 (2).
9. R. Cherniha, V. Davydovych and John R. King. Lie Symmetries of Nonlinear Parabolic-Elliptic Systems and Their Application to a Tumour Growth Model. Symmetry. – 2018. – Vol. 10 (5).
10. V. Davydovych. Group Classification of a Class of Kolmogorov Equations with Time-Dependent Coefficients. J. Math. Sci. – 2018. – Vol. 231. – P. 598–607.
11. R. Cherniha and V. Davydovych. A hunter-gatherer–farmer population model: Lie symmetries, exact solutions and their interpretation. Eur. J. Appl. Math. — 2019. — Vol. 30. — P. 338–357.
12. R. Cherniha and V. Davydovych. Lie symmetries, reduction and exact solutions of the (1+ 2)-dimensional nonlinear problem modeling the solid tumour growth. Commun. Nonlinear Sci. Numer. Simulat. – 2020. – Vol. 80, 104980.
13. R. Cherniha and V. Davydovych. Exact solutions of a mathematical model describing competition and co-existence of different language speakers. Entropy. – 2020. – Vol. 22 (2).
14. R. Cherniha and V. Davydovych. A mathematical model for the COVID-19 outbreak and its applications. Symmetry. – 2020. – Vol. 12 (6).
15. R. Cherniha and V. Davydovych. Conditional symmetries and exact solutions of a nonlinear three-component reaction-diffusion model. Eur. J. Appl. Math. — 2021. — Vol. 32. — P. 280-300.
16. R. Cherniha and V. Davydovych. A mathematical model for the COVID-19 outbreak and its applications. Mathematics. – 2021. – Vol. 9 (16).
17. R. Cherniha and V. Davydovych. A reaction–diffusion system with cross-diffusion: Lie symmetry, exact solutions and their applications in the pandemic modelling. Eur. J. Appl. Math. — 2022. — Vol. 33. — P. 785-802.
18. R. Cherniha, V. Davydovych, J. Stachowska-Pietka and J. Waniewski. A mathematical model for transport in poroelastic materials with variable volume: derivation, Lie symmetry analysis and examples—Part 2. Symmetry. – 2022. – Vol. 14 (1).
19. R. Cherniha and V. Davydovych. Construction and application of exact solutions of the diffusive Lotka–Volterra system: A review and new results. Commun. Nonlinear Sci. Numer. Simulat. – 2022. – Vol. 113, 106579.
20. R. Cherniha and V. Davydovych. A hunter-gatherer–farmer population model: new conditional symmetries and exact solutions with biological interpretation. Acta Applicandae Mathematicae. – 2022. – Vol. 182 (1).
21. R. Cherniha, V. Davydovych and J.R. King. The Shigesada–Kawasaki–Teramoto model: Conditional symmetries, exact solutions and their properties. Commun. Nonlinear Sci. Numer. Simulat. – 2023. – Vol. 124, 107313.
22. R. Cherniha and V. Davydovych. Symmetries and exact solutions of the diffusive Holling–Tanner prey-predator model. Acta Applicandae Mathematicae. – 2023. – Vol. 187 (1).