IJPAM: Volume 101, No. 2 (2015)
SIRS MODEL WITH A PUBLIC HEALTH PROGRAM
Department of Mathematics
University of Birjand
Abstract. The aim of this paper is to study the impact of introducing a vaccine on the dynamic of an infection in a SIRS model where primary and secondary infected are different. We investigate whether a public health program based on vaccinating a proportion of population can leads to control of the disease. This goal is reached by introducing and computing the basic reproduction number, , and showing the relation between and the existence, stability and bifurcation of equilibriums. Also we obtain a threshold for vaccination coverage such that vaccination program eliminates the infection.
Received: November 3, 2014
AMS Subject Classification: 92D25, 92D30
Key Words and Phrases: basic reproduction number, two stages SIRS model, Vaccination program, infectious disease
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DOI: 10.12732/ijpam.v101i2.10 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: 251 - 266