24 citations · 53 across the 10 of their papers we have counts for
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nlin.PS2020★ 5 cited
Exact solutions of a mathematical model describing competition and co-existence of different language speakers
Roman Cherniha, Vasyl' Davydovych
The known three-component reaction-diffusion system modeling competition and co-existence of different language speakers is under study. A modification of this system is proposed,…
nlin.PS2020
A reaction-diffusion system with cross-diffusion: Lie symmetry, exact solutions and their applications in the pandemic modeling
Roman Cherniha, Vasyl' Davydovych
A nonlinear reaction-diffusion system with cross-diffusion describing the COVID-19 outbreak is studied using the Lie symmetry method. A complete Lie symmetry classification is deri…
physics.soc-ph2020★ 9 cited
A mathematical model for the coronavirus COVID-19 outbreak
Roman Cherniha, Vasyl' Davydovych
A mathematical model is proposed for quantitative description of the outbreak of novel coronavirus COVID-19 in China. Although the model is relatively simple, the comparison with t…