Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/229996

Title

A numerical study on an influenza epidemic model with vaccination and diffusion

Author(s)

Samsuzzoha, Md.;  Singh, Manmohan;  Lucy, David

Abstract

A vaccinated diffusive compartmental epidemic model is developed to explore the impact of vaccination as well as diffusion on the transmission dynamics of influenza. The basic reproduction numbers with and without vaccination are obtained. Sensitivity analysis of the reproduction number based on parameters involved in the system has been investigated. Stability analysis of the points of equilibrium has also been investigated. Using the combined effect of the vaccine efficacy and vaccination rate, the model is analysed to determine criteria for control of influenza epidemic. The roles of vaccine efficacy and vaccination rate are compared. It is shown that higher levels of vaccine efficacy and vaccination rate lead to a decrease in the epidemic size. It is also shown that an accurate estimation of the efficiency of vaccine is necessary to control the spread of influenza and thus vaccination strategy needs to be implemented carefully.

Publication type

Journal article

Research centre

Swinburne University of Technology. Faculty of Engineering and Industrial Sciences

Source

Applied Mathematics and Computation, Vol. 219, no. 1 (Sep 2012), pp. 122-141

Publication year

2012

FOR Code(s)

0102 Applied Mathematics;  0103 Numerical and Computational Mathematics

Keyword(s)

Diffusion;  Epidemic model;  Infectious diseases;  Influenza;  Routh-Hurwitz stability conditions;  Splitting method;  Transmission coefficients;  Vaccination

Publisher

Elsevier

ISSN

0096-3003

Publisher URL

http://dx.doi.org/10.1016/j.amc.2012.04.089

Copyright

Copyright © 2012 Elsevier Inc. All rights reserved.

Peer reviewed