## Fundamentals of Mathematical Evolutionary GeneticsOne service mathematics has rendered the ~Et moi ..., si j'avait su comment en revenir, human race. It has put common sense back je riy serais point aile.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. o'; 'One service logic has rendered com puter science .. o'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series. |

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### Contents

Basic Equations of Population Genetics | 16 |

Simplest Population Models | 54 |

Parameters or Genotype Fitnesses? | 68 |

Multiple Alleles | 84 |

SexLimited and SexLinked Characters Models Taking Account | 114 |

Populations With Deviations from Panmixia | 134 |

Systems of Linked Populations Migration | 152 |

Population Dynamics in Changing Environment | 177 |

MultiLocus Models | 191 |

Diffusion Models of Population Genetics | 239 |

Random Genetic Drift in the Narrow Sense | 269 |

Properties of SingleLocus Models under Several Microevolutionary | 302 |

Diallelic Locus | 313 |

Random Genetic Drift in Subdivided Populations | 343 |

Conclusion | 382 |

### Other editions - View all

Fundamentals of Mathematical Evolutionary Genetics Yuri M. Svirezhev,V.P. Passekov No preview available - 2011 |

Fundamentals of Mathematical Evolutionary Genetics Yuri M. Svirezhev,V.P. Passekov No preview available - 1990 |

### Common terms and phrases

Adalia bipunctata allele frequencies approximation assumed asymptotic asymptotically stable average fitness behavior boundary chromosomes concentrations considered constant coordinates corresponding defined denoted derived deterministic model deviations from panmixia diallelic differential equations diffusion process diploid discrete model disequilibrium distribution domain drift coefficient dynamics eigenvalues eigenvectors equal equilibrium evolution evolutionary factors fecundity females fixation probability follows formula gamete frequencies gene frequencies genetic drift process genetic structure genotype haploid heterozygotes homozygotes hypersphere independent initial integral linear linkage loci locus Malthusian parameters mathematical mating matrix mean fitness meiosis microevolution migration multi-locus mutations one-locus overdominance panmictic perturbations polymorphism population genetics pressure of selection problem random genetic drift random mating recombination respect Section simplex ſº solution stable steady-state density function steady-state points subdivided population subpopulations Suppose Svirezhev theorem tion total population trajectories two-locus variables vector zero zygote