Cherniha, Roman; Davydovych, Vasyl’; Stachowska-Pietka, Joanna; Waniewski, Jacek Analysis of a Mathematical Model for Fluid Transport in Poroelastic Materials in 2D Space. arXiv:2409.11949 Preprint, arXiv:2409.11949 [math-ph] (2024). MSC: 35B06 35C05 74L15 × Cite Format Result Cite Full Text: arXiv OA License
Cherniha, Roman; Davydovych, Vasyl’ Symmetries and exact solutions of the diffusive Holling-Tanner prey-predator model. (English) Zbl 1526.35018 Acta Appl. Math. 187, Paper No. 8, 23 p. (2023). MSC: 35B06 35B09 35K57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Cherniha, Roman; Davydovych, Vasyl’; King, John R. The Shigesada-Kawasaki-Teramoto model: conditional symmetries, exact solutions and their properties. (English) Zbl 1518.35032 Commun. Nonlinear Sci. Numer. Simul. 124, Article ID 107313, 18 p. (2023). MSC: 35B06 35C05 35K57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Cherniha, Roman; Davydovych, Vasyl’ A hunter-gatherer-farmer population model: new conditional symmetries and exact solutions with biological interpretation. (English) Zbl 1504.35021 Acta Appl. Math. 182, Paper No. 4, 25 p. (2022). MSC: 35B06 35C05 35K40 35K57 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cherniha, Roman M.; Davydovych, Vasyl V. A reaction-diffusion system with cross-diffusion: Lie symmetry, exact solutions and their applications in the pandemic modelling. (English) Zbl 1504.35022 Eur. J. Appl. Math. 33, No. 5, 785-802 (2022). MSC: 35B06 35C05 35K40 35K57 92D30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cherniha, Roman; Davydovych, Vasyl’ Construction and application of exact solutions of the diffusive Lotka-Volterra system: a review and new results. (English) Zbl 1491.35098 Commun. Nonlinear Sci. Numer. Simul. 113, Article ID 106579, 25 p. (2022). MSC: 35C05 35C07 35B06 35K40 35K57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cherniha, R. M.; Davydovych, V. V. Conditional symmetries and exact solutions of a nonlinear three-component reaction-diffusion model. (English) Zbl 1504.35020 Eur. J. Appl. Math. 32, No. 2, 280-300 (2021). MSC: 35B06 35C05 35K57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Davydovych, V. V.; Cherniha, R. M. On a nonlinear mathematical model for the description of the competition and coexistence of different-language speakers. (English. Ukrainian original) Zbl 1470.35112 J. Math. Sci., New York 256, No. 5, 628-639 (2021); translation from Neliniĭni Kolyvannya 23, No. 1, 58-68 (2020). MSC: 35C07 35B06 35K57 35K45 35Q94 × Cite Format Result Cite Review PDF Full Text: DOI
Cherniha, Roman; Davydovych, Vasyl’ Lie symmetries, reduction and exact solutions of the \((1+2)\)-dimensional nonlinear problem modeling the solid tumour growth. (English) Zbl 1450.35260 Commun. Nonlinear Sci. Numer. Simul. 80, Article ID 104980, 15 p. (2020). MSC: 35Q92 92C37 92C50 35A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cherniha, Roman; Davydovych, Vasyl’ Reaction-diffusion systems with constant diffusivities: conditional symmetries and form-preserving transformations. (English) Zbl 1319.35087 Makhlouf, Abdenacer (ed.) et al., Algebra, geometry and mathematical physics. AGMP, Mulhouse, France, October 24-26, 2011. Proceedings. Berlin: Springer (ISBN 978-3-642-55360-8/hbk; 978-3-642-55361-5/ebook). Springer Proceedings in Mathematics & Statistics 85, 533-553 (2014). MSC: 35K57 35B06 35A30 35C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cherniha, Roman; Davydovych, Vasyl’ Lie and conditional symmetries of the three-component diffusive Lotka-Volterra system. (English) Zbl 1270.35029 J. Phys. A, Math. Theor. 46, No. 18, Article ID 185204, 14 p. (2013). MSC: 35B06 22E70 35K57 92D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cherniha, Roman; Davydovych, Vasyl’ Conditional symmetries and exact solutions of nonlinear reaction-diffusion systems with non-constant diffusivities. (English) Zbl 1248.35012 Commun. Nonlinear Sci. Numer. Simul. 17, No. 8, 3177-3188 (2012). MSC: 35B06 35K57 35C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cherniha, Roman; Davydovych, Vasyl’ Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system. (English) Zbl 1228.35120 Math. Comput. Modelling 54, No. 5-6, 1238-1251 (2011). MSC: 35K57 35Q92 35B06 35C05 92D25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv