.. _sphx_glr_api_gallery_ode_dynamics_epidemics:

Epidemic models
---------------

The Kermack-McKendrick SIR model, its threshold, and its final size.


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

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    <div class="sphx-glr-thumbcontainer" tooltip="An epidemic grows only if R_0 S_0 &gt; 1, peaks when the susceptible fraction falls to 1/R_0, and burns out before infecting everyone. The simulated peak and final size agree with the closed-form Kermack-McKendrick relations.">

.. only:: html

  .. image:: /api/gallery/ode_dynamics/epidemics/images/thumb/sphx_glr_plot_01_sir_model_thumb.png
    :alt:

  :doc:`/api/gallery/ode_dynamics/epidemics/plot_01_sir_model`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">The Kermack-McKendrick SIR model</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /api/gallery/ode_dynamics/epidemics/plot_01_sir_model