2023 EXPLICIT SOLUTIONS OF AN EPIDEMIOLOGICAL MODEL OF THE SIR TYPE
Francesco Calogero, Andrea Giansanti, Farrin Payandeh
Author Affiliations +
Albanian J. Math. 17(1): 69-82 (2023). DOI: 10.51286/albjm/1677838370

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 prove that some explicit solutions of that system can be obtained by algebraic operations, provided the parameters of the model satisfy certain constraints.

Acknowledgments

Farrin Payandeh’s visits to Rome have been supported by grants from Sapienza University of Rome, the Istituto Nazionale di Alta Matematica (INdAM) in Rome and the International Institute of Theoretical Physics (ICTP) in Trieste. FP also would like to thank Payame Noor University for financial support to this research.

Dedication

This paper is dedicated to the memory of Emma Previato. We all admire her scientific achievements. Some of us did have the privilege to personally know her.

Citation

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Francesco Calogero. Andrea Giansanti. Farrin Payandeh. "EXPLICIT SOLUTIONS OF AN EPIDEMIOLOGICAL MODEL OF THE SIR TYPE." Albanian J. Math. 17 (1) 69 - 82, 2023. https://doi.org/10.51286/albjm/1677838370

Information

Published: 2023
First available in Project Euclid: 11 July 2023

MathSciNet: MR4613606
Digital Object Identifier: 10.51286/albjm/1677838370

Subjects:
Primary: 34A05 , 92D30 , 93C15

Keywords: compartmental models , epidemics , Systems of Nonlinearly-coupled Ordinary Differential Equations

Rights: Copyright © 2023 Research Institute of Science and Technology (RISAT)

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