IJPAM: Volume 102, No. 2 (2015)

CONTROL OF EPIDEMIC BY VACCINATION IN
A SIRS MODEL WITH TWO INFECTED CATEGORIES

M. Baniasadi Moghadam$^1$, O. Rabiei Motlagh$^2$, H.M. Mohamadi Nezhad$^3$
$^{1,2,3}$Department of Mathematics
University of Birjand
Birjand, IRAN


Abstract. The aim of this paper is investigating the effect of vaccinating on the behavior of an infectious disease by study the effect on the basic reproduction number $(R_0(p))$, in a population where two different categories of infected (also susceptible) individuals exist, the differences between these two infected (also susceptible) categories are the rates of infection transmission and recovery (for susceptible incidence rate) and vaccination program is carrying out by vaccinating two different percentages of these two different categories of susceptible individuals. To study the behavior of infectious disease $R_0(p)$, is computed and the relationship between $R_0(p)$ and the existence, stability and bifurcation of equilibriums is investigated. Also conditions that lead to removing the infection are obtained.

Received: January 20, 2015

AMS Subject Classification: 92D25, 92D30

Key Words and Phrases: basic reproduction number, two stages SIR models, vaccination program, backward bifurcation, stability

Download paper from here.



DOI: 10.12732/ijpam.v102i2.4 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 102
Issue: 2
Pages: 209 - 223


Google Scholar; DOI (International DOI Foundation); WorldCAT.

CC BY This work is licensed under the Creative Commons Attribution International License (CC BY).