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Stochastic dynamics in finite populations: Difference between revisions
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Stochastic dynamics in finite populations (view source)
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<div class="lab_description SDE"> | <div class="lab_description SDE"> | ||
[[Image:RSP - ODE Mutations.svg|left|200px]] | [[Image:RSP - ODE Mutations.svg|left|200px]] | ||
==== [[EvoLudoLab: Rock-Paper-Scissors - ODE|Replicator-Mutator dynamics]]==== | ==== [[EvoLudoLab: Rock-Paper-Scissors - ODE with Mutations|Replicator-Mutator dynamics]]==== | ||
Including mutations in the replicator dynamics gives rise to the replicator-mutator dynamics. Mutations destabilizes the interior fixed point <math>\hat x</math> an can give rise to stable limit cycles. The image shows a sample trajectory for <math>\mu=0.002</math>. | Including mutations in the replicator dynamics gives rise to the replicator-mutator dynamics. Mutations destabilizes the interior fixed point <math>\hat x</math> an can give rise to stable limit cycles. The image shows a sample trajectory for <math>\mu=0.002</math>. | ||
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<div class="lab_description SDE"> | <div class="lab_description SDE"> | ||
[[Image:RSP - SDE.svg|left|200px]] | [[Image:RSP - SDE.svg|left|200px]] | ||
==== [[EvoLudoLab: Rock-Paper-Scissors - | ==== [[EvoLudoLab: Rock-Paper-Scissors - SDE|Stochastic differential equations]]==== | ||
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</div> | </div> | ||
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<div class="lab_description SDE"> | <div class="lab_description SDE"> | ||
[[Image:RSP - SDE Mutations.svg|left|200px]] | [[Image:RSP - SDE Mutations.svg|left|200px]] | ||
==== [[EvoLudoLab: Rock-Paper-Scissors - | ==== [[EvoLudoLab: Rock-Paper-Scissors - SDE with Mutations|Stochastic differential equations, with mutations]]==== | ||
{{-}} | {{-}} | ||
</div> | </div> | ||
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<div class="lab_description SDE"> | <div class="lab_description SDE"> | ||
[[Image:RSP - IBS.svg|left|200px]] | [[Image:RSP - IBS.svg|left|200px]] | ||
==== [[EvoLudoLab: Rock-Paper-Scissors - | ==== [[EvoLudoLab: Rock-Paper-Scissors - IBS|Individual based simulations]]==== | ||
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<div class="lab_description SDE"> | <div class="lab_description SDE"> | ||
[[Image:RSP - IBS Mutations.svg|left|200px]] | [[Image:RSP - IBS Mutations.svg|left|200px]] | ||
==== [[EvoLudoLab: Rock-Paper-Scissors - | ==== [[EvoLudoLab: Rock-Paper-Scissors - IBS with Mutations|Individual based simulations, with mutations]]==== | ||
{{-}} | {{-}} | ||
</div> | </div> | ||
