Nonlinear Reaction-Diffusion Systems Conditional Symmetry, Exact Solutions and their Applications in Biology /

• Main Authors: Cherniha, Roman (Author), Davydovych, Vasyl' (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Series: Lecture Notes in Mathematics, 2196
• Subjects: Mathematics.; Partial differential equations.; Biomathematics.; Mathematical physics.; Mathematical and Computational Biology.; Partial Differential Equations.; Mathematical Physics.

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, morphoge...

Table of Contents:

• 1 Scalar reaction-diffusion equations – conditional symmetry, exact solutions and applications
• 2 Q-conditional symmetries of reaction-diffusion systems
• 3 Conditional symmetries and exact solutions of diffusive Lotka–Volterra systems
• 4 Q-conditional symmetries of the first type and exact solutions of nonlinear reaction-diffusion systems
• A List of reaction-diffusion systems and exact solutions
• Index.