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Nonlinear Reaction-Diffusion Systems

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Nonlinear Reaction-Diffusion Systems Synopsis

This book presents several fundamental results in solving nonlinear reaction-diffusion equations and systems using symmetry-based methods. Reaction-diffusion systems are fundamental modeling tools for mathematical biology with applications to ecology, population dynamics, pattern formation, morphogenesis, enzymatic reactions and chemotaxis. The book discusses the properties of nonlinear reaction-diffusion systems, which are relevant for biological applications, from the symmetry point of view, providing rigorous definitions and constructive algorithms to search for conditional symmetry (a nontrivial generalization of the well-known Lie symmetry) of nonlinear reaction-diffusion systems. In order to present applications to population dynamics, it focuses mainly on two- and three-component diffusive Lotka-Volterra systems. While it is primarily a valuable guide for researchers working with reaction-diffusion systems  and those developing the theoretical aspects of conditional symmetry conception, parts of the book can also be used in master's level mathematical biology courses.

About This Edition

ISBN: 9783319654652
Publication date: 19th September 2017
Author: Roman Cherniha, Vasyl Davydovych
Publisher: Springer an imprint of Springer International Publishing
Format: Paperback
Pagination: 160 pages
Series: Lecture Notes in Mathematics
Genres: Computational biology / bioinformatics
Differential calculus and equations
Mathematical physics