Epidemiological Compartmental Model

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



References

2023

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.[1]

      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.

  1. Kermack WO, McKendrick AG (1927). "A Contribution to the Mathematical Theory of Epidemics". Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character. 115 (772): 700–721. Bibcode:1927RSPSA.115..700K. doi:10.1098/rspa.1927.0118.