Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models.

@article{Champagnata2006UnifyingED,
  title={Unifying evolutionary dynamics: from individual stochastic processes to macroscopic models.},
  author={Nicolas Champagnata and R{\'e}gis Ferri{\`e}rea and Sylvie M{\'e}l{\'e}ardb},
  journal={Theoretical population biology},
  year={2006},
  volume={69 3},
  pages={297-321}
}
A distinctive signature of living systems is Darwinian evolution, that is, a propensity to generate as well as self-select individual diversity. To capture this essential feature of life while describing the dynamics of populations, mathematical models must be rooted in the microscopic, stochastic description of discrete individuals characterized by one or several adaptive traits and interacting with each other. The simplest models assume asexual reproduction and haploid genetics: an offspring… CONTINUE READING
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