SOME Special Solutions of a Nonlinear System of 4 Ordinary Differential Equations Recently Introduced to Investigate the Evolution of Human Respiratory Virus Epidemics

2022/06/10 by F. Calogero, Calogero, Francesco, Andrea Giansanti +3
Mathematics · Medicine · #Biological Physics (physics.bio-ph) #COVID-19 epidemiological studies #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Biological sciences #FOS: Mathematics #FOS: Physical sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE)

paper · pdf · doi:10.48550/arxiv.2206.06984

openalex publication_date 2022/06/10 · openalex created_date 2022/06/17 · openalex updated_date 2026/07/28

Abstract

A system of 4 nonlinearly-coupled Ordinary Differential Equations has been recently introduced to investigate the evolution of human respiratory virus epidemics. In this paper we point out that some explicit solutions of that system can be obtained by algebraic operations, provided the parameters of the model satisfy certain constraints.

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