Stochastic dynamics in finite populations: Difference between revisions
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[[Image:RSP - ODE.svg|left|200px|link=EvoLudoLab: Rock-Paper-Scissors - ODE]] | [[Image:RSP - ODE.svg|left|200px|link=EvoLudoLab: Rock-Paper-Scissors - ODE]] | ||
====[[EvoLudoLab: Rock-Paper-Scissors - ODE|Replicator dynamics - Attractor]]==== | ====[[EvoLudoLab: Rock-Paper-Scissors - ODE|Replicator dynamics - Attractor]]==== | ||
In the limit \(N\to\infty\) | In the limit \(N\to\infty\) demographic stochasticity arising in finite populations disappears and the dynamics becomes deterministic. For \(s>1\) the interior fixed point \(\hat x\) is a stable focus of the replicator dynamics. All trajectories spiral toward \(\hat x\). | ||
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</div> | </div> | ||
