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Simulation Model for COVID-19 Analysis

Introduction | Our Goal | Features | Projections | Data Sources | Simulation Model of COVID-19 with System Dynamics | Our model | What the model can do | What the model cannot do | Media Coverage | General Disclaimers


We are engineers and researchers from Greece. We decided to make a good use of our expertise in Computer Science, Data Analysis and Scientific Modelling in order to contribute to the ongoing research about COVID-19. We are not doctors neither epidemiologists.
You can find more information about our team members on our social media accounts. Feel free to contact us directly.
Alkaios Sakellaris, Konstantina Miteloudi, Dimitris Sakellaris, Nikolaos Tampouratzis

Our Goal

Our goal is to provide insights and projections about the progression of coronavirus pandemic in a fast, clean and understandable way. We have developed a publicly available tool that helps everyone to comprehend the huge amount of information and numbers. This is necessary because people’s behavior is the main lever for controlling the outcome of the disease.


The main features of the website, are:

  • Live update of COVID-19 statistics per country. There is no need to refresh the page from the browser because new incoming numbers update automatically.
  • Interactive charts. The user can exclude or include data in the graphs by clicking on the labels.
  • Projections based on System Dynamics modelling. When projection about a country is ready there will be an annotation beside country's name on the table ("projection available"). We are working hard to provide projections for as many countries as we can.
  • Note: every projection line visualized in the charts is only a simulation run and it is not a forecast neither a future prediction.
  • Data geovisualization. An interactive animated global map that shows how coronavirus spread through space and time, from 01/01/2020 till present day.


Available projections:

  • Greece. First projection date is April 29, 2020 June 11, 2020 August 7, 2020.
  • United Kingdom. First projection date is May 1, 2020 June 14, 2020 July 5, 2020 July 31, 2020.
  • Italy. First projection date is May 6, 2020 June 17, 2020 July 25, 2020.
  • Spain. First projection date is May 9, 2020.
  • Netherlands. First projection date is May 12, 2020.
  • Russia. First projection date is May 18, 2020.
  • India. First projection date is June 4, 2020.
  • Pakistan. First projection date is June 7, 2020.
  • Brazil. First projection date is May 14, 2020 May 21, 2020 June 10, 2020 June 26, 2020 August 1, 2020.
  • Chile. First projection date is May 26, 2020.
  • New Jersey. First projection date is May 11, 2020 June 29, 2020.
  • New York. First projection date is June 24, 2020.
  • California. First projection date is June 29, 2020.

Data Sources

The data for analysis and visualization are based on multiple sources and they are classified in two main categories: live data and time series data.
The main sources for live data are: worldometer, BNO and Johns Hopkins University.
The main sources for time series data are: WHO, CDC, ECDC and Johns Hopkins University.
For the analysis, it is also used governments' responses to the coronavirus, per country, from Oxford COVID-19 Government Response Tracker (OxCGRT).
Data may contain errors and inconsistencies as pandemic is in progress.

Simulation Model of COVID-19 with System Dynamics

System Dynamics (SD) is a methodology and mathematical modeling technique to frame, understand, and discuss complex issues and problems. SARS-CoV-2 pandemic is such a complex problem that makes SD tool a very good fit for modelling the progression.
SD methodology can model not only disease-related variables, but also other variables such as policies, human behavior and economy.
As the scope of this paragraph is to give insights about the framework that is used to create the projections, we will not go deeper into the methodology. We suggest further reading in the dedicated page of System Dynamics Society for COVID-19. Our approach is based on Community Coronavirus Model and discussion about it can be found here.

Our model

Every model is wrong. We make this statement firstly because we want to make clear that nobody can model reality. The results of all models must be considered as scenarios. Every outcome of a model is based on the assumptions of the modeller and the quality of data that are used to derive these assumptions.
The core of our system is based on Susceptible-Exposed-Infected-Recovered (SEIR) epidemiology model. As the following picture depicts, we have made some changes in the basic structure of SEIR. We have split the stock "Infected" in two new stocks, "Infected Symptomatic" and "Infected Sick". Also, we assume that there is a fraction of asymptomatic cases inside the stock "Exposed". These changes were mandatory due to the behavior of SARS-CoV-2.

covid analysis model
What the model can do

There are three main loops that change the behavior of the dynamic system.
Red color shows ths reinforcement loop, where the number of past infected people infect others.
Orange color shows two loops:
- the first loop simulates the public isolation mechanism that is established by the Public Health System.
- the second loop refers to the hospital capacity. If the serious cases are more than the hospital capacity of the country that is being examined, then the fatality rate is increased due to overwhelmed, chaotic health care.
Blue color shows the loop that changes the outcomes of imposed mitigation measures. Assuming that the government's measures (social distancing, closed schools, lockdown etc.) changes the relative behavioral risk to a steady number after a specific time, a mechanism of human behavior is activated that is relative to the numbers of Confirmed Observed Cases and Confirmed Deaths that are daily reported. In other words:
- if people see the curves going up, they strict their behavior and they are more alarmed.
- if people see the curves going down, they loosen up their behavior and they are more careless about self-protection measures.

The variables that control simulation are also colored:
Red color shows the variables that characterize COVID-19 or are driven by the behavior of the disease. In order to have consistent simulations among different countries, the same numbers for every country were used based on the research by CDC.
Blue color shows the variables that are country-depended.
Green color shows the variables that control the transmission of the disease.
Our approach is generic and can be applied to many countries, independently of their data.

What the model cannot do

There are many things left out of the analysis. Some are:
- Immunity of recovered people: we don’t know if recovered people have immunity to COVID-19 or the population percentage that may have immunity. There is ongoing research in this field. Future models may address this issue, but for now, there is no loop-back from the stock "Recovered" to the stock "Susceptible".
- Economy: the effects and the pressure from downgrade economies has been left out. These are political decisions that can be incorporated in the model implicitly with the variables that include "Measures Time".
- New drugs that lower the fatality rate: at the time of writing this report, there is no drug that has solid effects on the disease.
- Rates of the disease based on age cohort.
Also, we have not included in our results any uncertainty of the projections. We want to emphasize that the results are one simulation run and they are not prediction neither forecast. To assess uncertainty bounds we must do Monte Carlo Simulation that generates thousands of scenarios. This type of analysis needs time and equipment that we don't possess for the time being.

Media Coverage

We want to thank the following news agencies for sharing our project with the world:

General Disclaimers

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