Random Models in Biology, Ecology and Evolution: 87 - Rilegato

Méléard, Sylvie

Rilegato

ISBN 10: 3662734826 ISBN 13: 9783662734827

Casa editrice: Springer-Verlag GmbH, 2026

Riassunto

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.

Su questo libro

Informazioni sull?autore

Sylvie Méléard holds the Chair in Mathematical Modeling for Biodiversity in the Applied Mathematics Department of the École Polytechnique (France). She is a distinguished mathematician specializing in probability theory and its applications to mathematical biology, including population dynamics, evolutionary ecology, bacterial biology and haematology. She is the recipient of numerous awards, including the Irène Joliot-Curie Scientific Woman of the Year 2024 award of the French Academy of Sciences.

Dalla quarta di copertina

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.

Dettagli dell'edizione

• Editore: Springer-Verlag GmbH
• Data di pubblicazione: 2026
• Lingua: Inglese
• ISBN 10: 3662734826
• ISBN 13: 9783662734827
• Rilegatura: Copertina rigida
• Numero di pagine: 300
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania