Nonlinear Reaction-Diffusion Systems

Conditional Symmetry, Exact Solutions and their Applications in Biology

Nonfiction, Science & Nature, Mathematics, Differential Equations, Applied, Science
Cover of the book Nonlinear Reaction-Diffusion Systems by Roman Cherniha, Vasyl' Davydovych, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Roman Cherniha, Vasyl' Davydovych ISBN: 9783319654676
Publisher: Springer International Publishing Publication: September 18, 2017
Imprint: Springer Language: English
Author: Roman Cherniha, Vasyl' Davydovych
ISBN: 9783319654676
Publisher: Springer International Publishing
Publication: September 18, 2017
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Practical Strategies for Clinical Management of Bullying by Roman Cherniha, Vasyl' Davydovych
Cover of the book Decision Models in Engineering and Management by Roman Cherniha, Vasyl' Davydovych
Cover of the book A Beginner's Guide to Scala, Object Orientation and Functional Programming by Roman Cherniha, Vasyl' Davydovych
Cover of the book Heat Pumps by Roman Cherniha, Vasyl' Davydovych
Cover of the book Design and Implementation of Real-Time Multi-Sensor Vision Systems by Roman Cherniha, Vasyl' Davydovych
Cover of the book CEOs and White-Collar Crime by Roman Cherniha, Vasyl' Davydovych
Cover of the book Diabetes in Pregnancy by Roman Cherniha, Vasyl' Davydovych
Cover of the book Information Processing and Management of Uncertainty in Knowledge-Based Systems. Theory and Foundations by Roman Cherniha, Vasyl' Davydovych
Cover of the book Medical Image Computing and Computer-Assisted Intervention – MICCAI 2016 by Roman Cherniha, Vasyl' Davydovych
Cover of the book New Directions in Treatment, Education, and Outreach for Mental Health and Addiction by Roman Cherniha, Vasyl' Davydovych
Cover of the book Smart Industry & Smart Education by Roman Cherniha, Vasyl' Davydovych
Cover of the book Regional Upgrading in Southern Europe by Roman Cherniha, Vasyl' Davydovych
Cover of the book Biology and Biotechnology of Patagonian Microorganisms by Roman Cherniha, Vasyl' Davydovych
Cover of the book Introduction to Probability with Statistical Applications by Roman Cherniha, Vasyl' Davydovych
Cover of the book Seizures in Critical Care by Roman Cherniha, Vasyl' Davydovych
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy