24 citations · 180 across the 21 of their papers we have counts for
Showing 2017 · math-phShow all
2 papers · 2 filters
math-ph2017★ 11 cited
A hunter-gatherer-farmer population model: Lie symmetries, exact solutions and their interpretation
Roman Cherniha, Vasyl' Davydovych
The Lie symmetry classification of the known three-component reaction-diffusion system modelling the spread of an initially localized population of farmers into a region occupied b…
math-ph2017★ 6 cited
Lie symmetries of nonlinear parabolic-elliptic systems and their application to a tumour growth model
Roman Cherniha, Vasyl' Davydovych, John R. King
A generalisation of the Lie symmetry method is applied to classify a coupled system of reaction-diffusion equations wherein the nonlinearities involve arbitrary functions in the li…