Evolution

  • Johannes Müller
  • Christina Kuttler
Part of the Lecture Notes on Mathematical Modelling in the Life Sciences book series (LMML)

Abstract

In the present chapter, we discuss two different approaches to model evolution. The first focuses on genes. The presence of different gene variations indicates different discrete levels of fitness, i.e., of reproductive success. We will look at this kind of models (Hardy-Weinberg, Wright model and Fisher-Wright-Haldane model) first. The second approach is not directly related to the genotype, but to the phenotype. The latter is assumed to vary continuously (e.g. as the average size of an individual of a species – this is a real value that may vary in principle continuously). Inspecting the performance of individuals with this phenotype, a certain kind of dynamics – adaptive dynamics – is developed that indicates how evolution will change the phenotype. In this way, phenotypes can be identified that are in particular effective. Adaptive dynamics claim that these are the phenotypes we observe.

Keywords

Singular Point Gene Frequency Random Mating Rare Mutant Evolutionary Stable Strategy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Johannes Müller
    • 1
  • Christina Kuttler
    • 1
  1. 1.Centre for Mathematical SciencesTechnical University MunichGarchingGermany

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