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Evolutionary trajectory in a finite population as generated by stochastic differential equations
Evolutionary trajectory in a finite population as generated by stochastic differential equations

Stochastic dynamics in finite populations

New tutorial that complements a research article which establishes a transparent link between individual based simulations and the deterministic dynamics of the replicator equation through stochastic differential equations.

Traulsen, A., Claussen, J. C. & Hauert, C. (2012) Stochastic differential equations for evolutionary dynamics with demographic noise and mutations. Phys. Rev. E doi: 10.1103/PhysRevE.00.001900