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The Mathematics of Darwin’s Legacy

  • Book
  • © 2011

Overview

Editors:
  1. Fabio A. C. C. Chalub

    1. , Departamento de Matemática, Universidade Nova de Lisboa, Caparica, Portugal

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  2. José Francisco Rodrigues

    1. CMAF, Universidade de Lisboa, Lisboa, Portugal

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    You can also search for this editor in PubMed   Google Scholar

  • General introduction and state-of-the-art texts organized by topics
  • All authors are leading experts in their fields
  • Includes more than 50 illustrative pictures
  • Includes supplementary material: sn.pub/extras

Part of the book series: Mathematics and Biosciences in Interaction (MBI)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-viii
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  2. Preface

    • Fabio A. C. C. Chalub, José Francisco Rodrigues
    Pages 1-6

  3. What Changes Has Mathematics Made to the Darwinian Theory?

    • Warren J. Ewens
    Pages 7-26

  4. The Mathematics of Darwin’s Theory of Evolution: 1859 and 150 Years Later

    • Peter Schuster
    Pages 27-66

  5. Some Mathematical Models in Evolutionary Genetics

    • Reinhard Bürger
    Pages 67-89

  6. Extinction, Persistence, and Evolution

    • Peter Jagers
    Pages 91-104

  7. Group Theory in Homogeneous Populations (Rescuing Darwin from the mud)

    • Peter Taylor
    Pages 105-117

  8. Evolutionary Dynamics of Collective Action

    • Jorge M. Pacheco, Francisco C. Santos, Max O. Souza, Brian Skyrms
    Pages 119-138

  9. On Kin and Group Selection, and the Haystack Model

    • Vincent A. A. Jansen
    Pages 139-157

  10. Population Formulation of Adaptative Meso-evolution: Theory and Numerics

    • Sepideh Mirrahimi, Benoît Perthame, Emeric Bouin, Pierre Millien
    Pages 159-174

  11. Random Modeling of Adaptive Dynamics and Evolutionary Branching

    • Sylvie Méléard
    Pages 175-192

  12. Thoughts on the Geometry of Meso-evolution: Collecting Mathematical Elements for a Postmodern Synthesis

    • J. A. J. Hans Metz
    Pages 193-231

  13. When Do Optimisation Arguments Make Evolutionary Sense?

    • Mats Gyllenberg, J. A. J. Hans Metz, Robert Service
    Pages 233-268

  14. Back Matter

    Pages 269-293
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Keywords

About this book

The book presents a general overview of mathematical models in the context of evolution. It covers a wide range of topics such as population genetics, population dynamics, speciation, adaptive dynamics, game theory, kin selection, and stochastic processes. Written by leading scientists working at the interface between evolutionary biology and mathematics the book is the outcome of a conference commemorating Charles Darwin's 200th birthday, and the 150th anniversary of the first publication of his book "On the origin of species". Its chapters vary in format between general introductory and state-of-the-art research texts in biomathematics, in this way addressing both students and researchers in mathematics, biology and related fields. Mathematicians looking for new problems as well as biologists looking for rigorous description of population dynamics will find this book fundamental.

Editors and Affiliations

  • , Departamento de Matemática, Universidade Nova de Lisboa, Caparica, Portugal

    Fabio A. C. C. Chalub

  • CMAF, Universidade de Lisboa, Lisboa, Portugal

    José Francisco Rodrigues

About the editors

Fabio Chalub is BSc and MSc in Physics and PhD in Mathematics. In the last 10 years has been working in mathematical modelling in life sciences. He has more than 20 scientific articles in leading international journals and is also active in the field of scientific diffusion. Since 2003 lives in Portugal where he is now Assistant Professor at Universidade Nova de Lisboa.
José Francisco Rodrigues is PhD in Mathematics, member of the Lisbon Academy of Sciences, president of the International Centre of Mathematics and full professor at University of Lisbon. He had published over 100 scientific papers, coedited 15 books, authored 1 book and is the coordinating editor of "Interfaces and Free Boundaries"

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