## The Mathematics of Darwin’s LegacyFabio A. C. C. Chalub, José Francisco Rodrigues 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. |

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### Contents

1 | |

7 | |

1859 and 150 Years Later | 27 |

Some Mathematical Models in Evolutionary Genetics | 67 |

Extinction Persistence and Evolution | 91 |

Group Theory in Homogeneous Populations Rescuing Darwin from the mud | 105 |

Evolutionary Dynamics of Collective Action | 118 |

On Kin and Group Selection and the Haystack Model | 139 |

Theory and Numerics | 159 |

Random Modeling of Adaptive Dynamics and Evolutionary Branching | 175 |

Collecting Mathematical Elements for a Postmodern Synthesis | 193 |

When Do Optimisation Arguments Make Evolutionary Sense? | 232 |

269 | |

289 | |

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The Mathematics of Darwin’s Legacy Fabio A. C. C. Chalub,Jose Francisco Rodrigues No preview available - 2013 |