Reaction-Transport Systems; Preface; Contents; Acronyms; Symbols; Part I General Concepts; 1 Reaction Kinetics; 2 Reactions and Transport: Diffusion, Inertia, and Subdiffusion; 3 Random Walks and Mesoscopic Reaction -- Transport Equations; Part II Front Propagation; 4 Reaction -- Diffusion Fronts; 5 Reaction -- Transport Fronts Propagating into Unstable States; 6 Reaction -- Diffusion Fronts in Complex Structures; 7 Ecological Applications; 8 Biomedical Applications; Part III Spatial Instabilities and Patterns; 9 Persistence and Extinction of Populationsin Finite Domains
Summary
This book is an introduction to the dynamics of reaction-diffusion systems, with a focus on fronts and stationary spatial patterns. Emphasis is on systems that are non-standard in the sense that either the transport is not simply classical diffusion (Brownian motion) or the system is not homogeneous. A important feature is the derivation of the basic phenomenological equations from the mesoscopic system properties. Topics addressed include transport with inertia, described by persistent random walks and hyperbolic reaction-transport equations and transport by anomalous diffusion, in particular
Bibliography
Includes bibliographical references (pages 423-447) and index
