Epidemiological Compartmental Model

An Epidemiological Compartmental Model is amathematical model used in epidemiology to describe the spread of an infectious disease within a population.

• Context:
  • It can range from being a Simple Epidemiological Compartmental Model to being a Complex Epidemiological Compartmental Model.
• Example(s):
  • a Susceptible-Infected-Recovered (SIR) Model,
  • a Susceptible-Exposed-Infected-Recovered (SEIR) Model,
  • a Susceptible-Exposed-Infected-Recovered-Susceptible (SEIRS) Model,
  • a Susceptible-Infected-Susceptible (SIS) Model,
  • …
• Counter-Example(s):
  • Epidemological Agent-Based Model,
  • Epidemological Neural Network Based Model,
  • Explanatory Predictive Model.
• See: Kermack–McKendrick Theory, Clinical Trial, Transmissible Disease, Virus Outbreak Flatten the Curve.

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References

2023

• (ChatGPT-OpenAi, 2023) ⇒ https://chat.openai.com Retrieved:2023-4-16.
  • Q: What is a Epidemiological Compartmental Model?
  • A: An Epidemiological Compartmental Model is a mathematical model used in epidemiology to describe the spread of an infectious disease within a population. The model divides the population into different compartments based on the disease status of individuals, such as susceptible, infected, recovered, or deceased.

    The model describes the transitions between these compartments, such as the transmission of the disease from infected individuals to susceptible individuals, the recovery of infected individuals, or the death of infected individuals. The model can also take into account other factors that may influence the spread of the disease, such as the effects of vaccination, quarantine, or social distancing measures.

    Compartmental models can be simple or complex, depending on the level of detail and accuracy desired. They can be used to predict the course of an outbreak, assess the impact of different interventions, and inform public health policy decisions.

2020

• (Wikipedia, 2020) ⇒ https://en.wikipedia.org/wiki/Compartmental_models_in_epidemiology Retrieved:2020-4-6.
  • Compartmental models are a technique used to simplify the mathematical modelling of infectious disease. The population is divided into compartments, with the assumption that every individual in the same compartment has the same characteristics. Its origin is in the early 20th century, with an important early work being that of Kermack and McKendrick in 1927.

    The models are usually investigated through ordinary differential equations (which are deterministic), but can also be viewed in a stochastic framework, which is more realistic but also more complicated to analyze.

     Compartmental models may be used to predict properties of how a disease spreads, for example the prevalence (total number of infected) or the duration of an epidemic. Also, the model allows for understanding how different situations may affect the outcome of the epidemic, e.g., what the most efficient technique is for issuing a limited number of vaccines in a given population.

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