The Mathematics of Darwin’s Legacy

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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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.

• Applied Mathematics
• Biomathematics
• Evolution
• Population Dynamics
• Population Genetics

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

  Fabio A. C. C. Chalub

• CMAF, Universidade de Lisboa, Lisboa, Portugal

  José Francisco Rodrigues

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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