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:class:`SEIR`: The SEIR process

.. currentmodule:: epydemic


.. autoclass:: SEIR

Dynamical states

SEIR simulation places nodes into one of four compartments:

.. autoattribute:: SEIR.SUSCEPTIBLE


.. autoattribute:: SEIR.EXPOSED


.. autoattribute:: SEIR.INFECTED


.. autoattribute:: SEIR.REMOVED

Parameters

The process is parameterised by five parameters:

.. autoattribute:: SEIR.P_EXPOSED


.. autoattribute:: SEIR.P_INFECT_ASYMPTOMATIC


.. autoattribute:: SEIR.P_INFECT_SYMPTOMATIC


.. autoattribute:: SEIR.P_SYMPTOMS


.. autoattribute:: SEIR.P_REMOVE

The :attr:`SEIR.P_EXPOSED` parameter defines the proportion of nodes that are initially placed into the :attr:`SEIR.EXPOSED` compartment, with all other nodes being placed into the :attr:`SEIR.SUSCEPTIBLE` compartment.

Loci

Dynamics in SEIR occurs in four places:

  • At SI edges, where the node at one endpoint is susceptible and the node at the other is infected;
  • At SI edges, where the node at one endpoint is susceptible and the node at the other is infected;
  • At exposed nodes which show symptoms; and
  • At infected nodes, which which are removed.

These four options define the loci for the SEIR model.

.. autoattribute:: SEIR.SE


.. autoattribute:: SEIR.SI

The other loci are named :attr:`SEIR.EXPOSED` and :attr:`SEIR.INFECTED`, the same as the corresponding compartments.

Building the model

Building the model creates the three epidemic compartments and installs the necessary loci and events to define the disease dynamics. The event methods are described more thoroughly below.

.. automethod:: SEIR.build

Event methods

Event methods are defined for each of the two dynamical rules for the process: infection and removal.

.. automethod:: SEIR.infectAsymptomatic


.. automethod:: SEIR.infect


.. automethod:: SEIR.symptoms


.. automethod:: SEIR.remove