Name: Introduction to Reaction-Diffusion Equations: Theory and Applications to Spatial Ecology and Evolutionary Biology (en Inglés)
Price: 84340.00 CLP
Availability: InStock
Author: Lam, King-Yeung ; Lou, Yuan
ISBN: 9783031204210

portada Introduction to Reaction-Diffusion Equations: Theory and Applications to Spatial Ecology and Evolutionary Biology (en Inglés)

Formato

Libro Físico

Autor

King-Yeung Lam

Yuan Lou

Editorial

Springer

Idioma

Inglés

N° páginas

312

Encuadernación

Tapa Blanda

Dimensiones

23.4 x 15.6 x 1.8 cm

Peso

0.46 kg.

ISBN13

9783031204210

Categorías

Cálculo y análisis matemático
Matemáticas aplicadas
Evolución

Introduction to Reaction-Diffusion Equations: Theory and Applications to Spatial Ecology and Evolutionary Biology (en Inglés)

King-Yeung Lam (Autor) · Yuan Lou (Autor) · Springer · Tapa Blanda

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Reseña del libro "Introduction to Reaction-Diffusion Equations: Theory and Applications to Spatial Ecology and Evolutionary Biology (en Inglés)"

This book introduces some basic mathematical tools in reaction-diffusion models, with applications to spatial ecology and evolutionary biology. It is divided into four parts.The first part is an introduction to the maximum principle, the theory of principal eigenvalues for elliptic and periodic-parabolic equations and systems, and the theory of principal Floquet bundles.The second part concerns the applications in spatial ecology. We discuss the dynamics of a single species and two competing species, as well as some recent progress on N competing species in bounded domains. Some related results on stream populations and phytoplankton populations are also included. We also discuss the spreading properties of a single species in an unbounded spatial domain, as modeled by the Fisher-KPP equation.The third part concerns the applications in evolutionary biology. We describe the basic notions of adaptive dynamics, such as evolutionarily stable strategies and evolutionary branching points, in the context of a competition model of stream populations. We also discuss a class of selection-mutation models describing a population structured along a continuous phenotypical trait.The fourth part consists of several appendices, which present a self-contained treatment of some basic abstract theories in functional analysis and dynamical systems. Topics include the Krein-Rutman theorem for linear and nonlinear operators, as well as some elements of monotone dynamical systems and abstract competition systems.Most of the book is self-contained and it is aimed at graduate students and researchers who are interested in the theory and applications of reaction-diffusion equations.