9 citations · 14 across the 2 of their papers we have counts for
4 papers
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,…
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…
Conditional symmetries and exact solutions of a nonlinear three-component reaction-diffusion model
Roman Cherniha, Vasyl' Davydovych
Q-conditional (nonclassical) symmetries of the known three-component reaction-diffusion system [K. Aoki et al Theor. Pop. Biol. 50(1) (1996)] modeling interaction between farmers a…
Lie symmetries, reduction and exact solutions of the (1+2)-dimensional nonlinear problem
Roman Cherniha, Vasyl' Davydovych
The well known nonlinear model for describing the solid tumour growth [Byrne HM., et al. Appl Math Letters 2003;16:567-74] is under study using an approach based on Lie symmetries.…