Jonnalagadda, J.M. Epidemic Analysis and Mathematical Modelling of H1N1 (A) with Vaccination. Nonautonomous Dynamical Systems 2022, 9, 1–10, doi:10.1515/msds-2020-0143.
Jonnalagadda, J.M. Epidemic Analysis and Mathematical Modelling of H1N1 (A) with Vaccination. Nonautonomous Dynamical Systems 2022, 9, 1–10, doi:10.1515/msds-2020-0143.
Jonnalagadda, J.M. Epidemic Analysis and Mathematical Modelling of H1N1 (A) with Vaccination. Nonautonomous Dynamical Systems 2022, 9, 1–10, doi:10.1515/msds-2020-0143.
Jonnalagadda, J.M. Epidemic Analysis and Mathematical Modelling of H1N1 (A) with Vaccination. Nonautonomous Dynamical Systems 2022, 9, 1–10, 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
Computer Science and Mathematics, Applied Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
