Random models in biology, ecology and evolution Sylvie Méléard

Format:

Book

Author/Creator:

Méléard, Sylvie, author.

Series:

Texts in applied mathematics ; 2196-9949 87

Texts in applied mathematics 2196-9949 volume 87

Standardized Title:

Modèles aléatoires en Ecologie et Evolution. English

Language:

English

French

Subjects (All):

Stochastic processes.

Distribution (Probability theory).

distribution (statistics-related concept).

Physical Description:

1 online resource

Edition:

1st ed.

Place of Publication:

Berlin, Germany Springer 2026

Summary:

This book defines and develops probabilistic tools for modeling populations, describing the dynamics of biological quantities such as population size, allele proportions, and individual locations. Beginning with discrete Markovian models (random walks, Galton-Watson processes), it gradually introduces stochastic calculus, stochastic differential equations, and jump Markov processes, including continuous-time branching processes and birth-and-death processes. It also explores discrete and continuous models of genetic evolution, genealogies, and the Wright-Fisher process and coalescent theory. Throughout, the book emphasizes the computation of biologically relevant quantities and includes numerous exercises. The final chapter demonstrates the application of probabilistic tools to real-world biological problems and discusses recent research in detail. Written and course-tested by a leading expert, this book offers a solid foundation in the mathematical modeling of biological systems, population dynamics, genetic evolution, and ecological impact

Contents:

1 Introduction

2 Spatial Populations and Discrete Time

3 Population Dynamics in Discrete Time

4 Brownian Motion and Diffusion Processes

5 Continuous Time Population Processes

6 Genetic Evolutionary Processes

7 Some Modern Developments in Ecology-Evolution

Appendix A: Measures, Integration and Probability Measures

Appendix B: Poisson Point Measures

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (SpringerLink, viewed May 27, 2026)

ISBN:

9783662734834

3662734834

OCLC:

1592990858

Access Restriction:

Restricted for use by site license