Construction and application of exact solutions of the diffusive Lotka–Volterra system: A review and new results

This review summarizes all known results (up to this date) about methods of integration of the classical Lotka–Volterra systems with diffusion and presents a wide range of exact solutions, which are the most important from applicability point of view. It is the first attempt in this direction. Becau...

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Bibliographic Details
Published in:	Communications in nonlinear science & numerical simulation Vol. 113; p. 106579
Main Authors:	Cherniha, Roman, Davydovych, Vasyl’
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier B.V 01.10.2022 Elsevier Science Ltd
Subjects:	Applications of mathematics Approximation Boundary value problems Diffusive Lotka–Volterra system Exact solution Exact solutions Lie and conditional symmetry Mathematical models Numerical analysis Numerical methods Population dynamics Traveling front Lie and conditional symmetry Traveling front Population dynamics Diffusive Lotka–Volterra system Exact solution
ISSN:	1007-5704, 1878-7274
Online Access:	Get full text
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