A review of commonly used compartmental models in epidemiology

2021/10/18 by Mohamed Mehdaoui, Mehdaoui, Mohamed
Medicine · Mathematics · #Mathematical and Theoretical Epidemiology and Ecology Models #COVID-19 epidemiological studies #Fractional Differential Equations Solutions

paper · pdf · doi:10.48550/arxiv.2110.09642

Abstract

In order to model an epidemic, different approaches can be adopted. Mainly, the deterministic approach and the stochastic one. Recently, a large amount of literature has been published using the two approaches. The aim of this paper is to illustrate the usual framework used for commonly adopted compartmental models in epidemiology and introduce variant analytic and numerical tools that interfere on each one of those models, as well as the general related types of existing, ongoing and future possible contributions.

Citations

• A generalization of the Kermack-McKendrick deterministic epidemic model
• Backward bifurcation of an epidemic model with treatment
• Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations

Related

• Toward a comprehensive system for constructing compartmental epidemic models
• Products of Compartmental Models in Epidemiology
• Proposal of a recursive compartment model of epidemics and applications to the Covid-19 pandemic
• Network Models in Epidemiology: Considering Discrete and Continuous Dynamics
• Heterogeneously structured compartmental models of epidemiological systems: from individual-level processes to population-scale dynamics