Epidemic Analysis and Mathematical Modelling of Influenza with Vaccination
Loading...
Date
2021
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Kabale University
Abstract
In this study, we discuss an SLIRV model developed by Jonnalagadda & Gaddam (2016) for the
transmission of influenza A with vaccination using tools from ordinary differential equations. We
show that if the product of the recruitment rate and the ratio of infection rate to mean latent period is
less that the product the sums μ + m, μ + m and + a + y; where μ, a,y,m and 1/ware natural death
rate, disease-related death rate, recovery rate, vaccination rate and mean latent period, respectively;
then the disease free equilibrium will be locally and globally asymptotically stable, an indication that
that disease can be eradicated from the population.
Description
A Dissertation Submitted To the Faculty of Education in Partial Fulfillment of the Requirements for the A Ward of Bachelor of Science with Education of Kabale University
Keywords
Epidemic Analysis , Mathematical Modelling ,Influenza , Vaccination