Kermack–McKendrick Epidemic SIR Infectious Disease Model - Metrics by Guy Lakeman

This is a simple SIR infectious diseases 3 stock model with Susceptibles, Infectives and Recovereds stocks. In the initial description the R signified Removed and could include Deaths, Recovered with immunity to infection (Resistant) or those who had fled the epidemic. Note the need to initiate the epidemic by adding a pulse of a single infected person at time 0.

Here we have a basic SEIR model and we will investigate what changes would be appropriate for modelling the 2019 Coronavirus.

The initial parametrization is based on the suggested current data. The initial population is set for Catalonia.

For this, we defined a world population size and a percentage of it who’s infected. Then, we created an agent where we simulated possible states of an individual.

So, he can be healthy, infected (with an infection rate) or immunized ( with a certain rate of immunization). If the individual is infected, he can be alive or dead. Then, we simulated different continents (North-America, Asia and Europe) with a migration between theses with a certain rate of migration (we tried to approach reality).

Then, thanks to our our move action which represent a circular permutation between the different continents with a random probability the agent will be applied to every individual of the world population.

How the program works ?

In order to use this insight needs to define a size of world population and a probability of every individual to reproduce himself.

Every individual of this population can have three different state (healthy, infected or immunized) and infected people can be alive or dead.

We need to define a percentage of infection to healthy people and a percentage of death for infected people and also a percentage of immunization.

Finally there is le migration part of the program, in this one we need to define three different continents, states or whatever you want. We also need to define a migration probability between each continent to move these person.

With this moving people we can study the influence of migration on the propagation of a disease.

Here we have a basic SEIR model and we will investigate what changes would be appropriate for modelling the 2019 Coronavirus 

Here we have a basic SEIR model and we will investigate what changes would be appropriate for modelling the 2019 Coronavirus.

The initial parametrization is based on the suggested current data. The initial population is set for Catalonia.

Here we have a basic model and we will investigate what changes would be appropriate for modelling the 2019 Coronavirus.

We add simple containment meassures that affect different paramenters.

The initial parametrization is based on the suggested current data. The initial population is set for Hong Kong.

The questions that we want to answer in this kind of models are not the shape of the curves, that are almost known from the beginning, but, when this happens, and the amplitude of the shapes. This is crucial, since in the current circumstance implies the collapse of certain resources, not only healthcare.

Here we have a basic SEIR model and we will investigate what changes would be appropriate for modelling the 2019 Coronavirus.

The initial parametrization is based on the suggested current data. The initial population is set for Catalonia.

Here we have a basic SEIR model and we will investigate what changes would be appropriate for modelling the 2019 Coronavirus.

The initial parametrization is based on the suggested current data. The initial population is set for Catalonia.

Here we have modified the SIR model of Insight 584 by adding an additional stock of Exposed people, who become Infective after an incubation period.

A simple SIR infectious diseases 3 stock model with Susceptibles, Infectives and Recovereds stocks. Note the need to initiate the epidemic by adding a pulse of a single infected person at time 0. 

Paprastas 3 regionų užkrėstumo modelis. Irena Gustytė.

Here we have a basic SEIR model and we will investigate what changes would be appropriate for modelling the 2019 Coronavirus.

The initial parametrization is based on the suggested current data. The initial population is set for Catalonia.