Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Epidemic Analysis and Mathematical Modelling of H1N1 (A) with Vaccination

Version 1 : Received: 29 August 2016 / Approved: 30 August 2016 / Online: 30 August 2016 (08:54:15 CEST)

A peer-reviewed article of this Preprint also exists.

Journal reference: Nonauton. Dyn. Syst. 2022
DOI: 10.1515/msds-2020-0143

Abstract

This article investigates a proposed new mathematical model that considers the infected individuals using various rate coefficients such as transmission, progression, recovery and vaccination. The fact that the dynamic analysis is completely determined by the basic reproduction number is established. More specifically, local and global stabilities of the disease-free equilibrium and the endemic equilibrium are proved under certain parameter conditions when the basic reproduction number is below or above unity. A realistic computer simulation is performed for better understanding of the variations in trends of different compartments after the outbreak of the disease.

Keywords

basic reproduction number; disease free equilibrium; endemic equilibrium; local asymptotic stability; global asymptotic stability; influenza

Subject

MATHEMATICS & COMPUTER SCIENCE, Applied Mathematics

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