# Wright-fisher-like models with constant population size on average

@article{Grosjean2017WrightfisherlikeMW, title={Wright-fisher-like models with constant population size on average}, author={Nicolas Grosjean and Thierry Huillet}, journal={International Journal of Biomathematics}, year={2017}, volume={10}, pages={1750078} }

We first recall some basic facts from the theory of discrete-time Markov chains arising from two types neutral and non-neutral evolution models of population genetics with constant size. We then define and analyse a version of such models whose fluctuating total population size is conserved on average only. In our model, the population of interest is seen as being embedded in a frame process which is a critical Galton-Watson process. In this context, we address problems such as extinction…

## 3 Citations

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We study a generalized discrete-time multi-type Wright-Fisher population process. The mean-field dynamics of the stochastic process is induced by a general replicator difference equation. We prove…

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We study a generalized discrete-time multi-type Wright-Fisher population process. The mean-field dynamics of the stochastic process is induced by a general replicator difference equation. We prove…

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The equilibrium species counts as a function of n, p and the total mutation probability are studied before considering various asymptotic regimes on n, p and $$\nu .$$ν.

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