3 papers
nlin.SI2026
Symmetries and exact solutions of a reaction-diffusion system arising in population dynamics
Philip Broadbridge, Roman Cherniha, Vasyl' Davydovych +1
A system of two cubic reaction-diffusion equations for two independent gene frequencies arising in population dynamics is studied. Depending on values of coefficients, all possible…
math-ph2025
Lie symmetry classification and exact solutions of a diffusive Lotka-Volterra system with convection
Roman Cherniha, Vasyl' Davydovych
A mathematical model for description of the viscous fingering induced by a chemical reaction is under study. This complicated five-component model is reduced to a three-component d…
q-bio.PE2025
An age-structured diffusive model for epidemic modelling: Lie symmetries and exact solutions
Roman Cherniha, Vasyl' Davydovych
A new age-structured diffusive model for the mathematical modelling of epidemics is suggested. The model can be considered as a generalization of two models suggested earlier for t…