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Nonlinear Reaction-Diffusion Systems - Conditional Symmetry, Exact Solutions and their Applications in Biology (Paperback, 1st ed. 2017)
Loot Price: R1,919
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Nonlinear Reaction-Diffusion Systems - Conditional Symmetry, Exact Solutions and their Applications in Biology (Paperback, 1st ed. 2017)
Series: Lecture Notes in Mathematics, 2196
Expected to ship within 10 - 15 working days
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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.
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