IJPAM: Volume 102, No. 2 (2015)
A SIRS MODEL WITH TWO INFECTED CATEGORIES
Department of Mathematics
University of Birjand
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 , 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 , is computed and the relationship between 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
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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
Pages: 209 - 223