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Simulation of deterministic compartmental models for infectious diseases\n dynamics

2021/06/03 by Antônio M. Batista, Batista, Antonio M, Sílvio L.T. de Souza +15
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Biological Physics (physics.bio-ph) #COVID-19 epidemiological studies #Evolution and Genetic Dynamics #FOS: Biological sciences #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE)

paper · pdf · doi:10.48550/arxiv.2106.02085

openalex publication_date 2021/06/03 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

Infectious diseases are caused by pathogenic microorganisms and can spread\nthrough different ways. Mathematical models and computational simulation have\nbeen used extensively to investigate the transmission and spread of infectious\ndiseases. In other words, mathematical model simulation can be used to analyse\nthe dynamics of infectious diseases, aiming to understand the effects and how\nto control the spread. In general, these models are based on compartments,\nwhere each compartment contains individuals with the same characteristics, such\nas susceptible, exposed, infected, and recovered. In this paper, we cast\nfurther light on some classical epidemic models, reporting possible outcomes\nfrom numerical simulation. Furthermore, we provide routines in a repository for\nsimulations.\n

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