Conditional symmetries and exact solutions of the diffusive Lotka-Volterra system

DOI10.1016/j.mcm.2011.03.035zbMath1228.35120arXiv1012.5747OpenAlexW2002460414MaRDI QIDQ652848

Vasyl' Davydovych, Roman M. Cherniha

Publication date: 18 December 2011

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5747

zbMATH Keywords

exact solutionreaction-diffusion systemLie symmetry\(Q\)-conditional symmetrynon-classical symmetrydiffusive Lotka-Volterra system

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Solutions to PDEs in closed form (35C05) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (13)

Approximate Q-conditional symmetries of partial differential equations ⋮ On solitons and invariant solutions of the Magneto-electro-elastic circular rod ⋮ Conditional symmetries and exact solutions of a nonlinear three-component reaction-diffusion model ⋮ Lie symmetry of the diffusive Lotka-Volterra system with time-dependent coefficients ⋮ Construction and application of exact solutions of the diffusive Lotka-Volterra system: a review and new results ⋮ Exact nonclassical symmetry solutions of Lotka–Volterra-type population systems ⋮ Integrable nonlinear reaction-diffusion population models for fisheries ⋮ Conditional symmetries and exact solutions of nonlinear reaction-diffusion systems with non-constant diffusivities ⋮ Numerical simulation and symmetry reduction of a two-component reaction-diffusion system ⋮ Lie symmetries of the Shigesada-Kawasaki-Teramoto system ⋮ Consistent approximate Q-conditional symmetries of PDEs: application to a hyperbolic reaction-diffusion-convection equation ⋮ Diffusive solutions of the competitive Lotka-Volterra system ⋮ Conditional Lie-Bäcklund symmetry, second-order differential constraint and direct reduction of diffusion systems

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