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math-ph2019★ 8 cited
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…
math-ph2019★ 1 cited
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.…