IJPAM: Volume 87, No. 5 (2013)

MATHEMATICAL MODEL FOR CONTROL
OF MEASLES EPIDEMIOLOGY

A.A. Momoh$^1$, M.O. Ibrahim$^2$, I.J. Uwanta$^3$, S.B. Manga$^4$
$^1$Department of Mathematics
Modibbo Adama University of Technology
Yola Adamawa State, NIGERIA
$^2$Department of Mathematics
University of Ilorin
Ilorin, Kwara State, NIGERIA
$^3$Department of Mathematics
Usmanu Danfodiyo University
Sokoto, Sokoto State, NIGERIA
$^4$Department of Microbiology
Usmanu Danfodiyo University
Sokoto, Sokoto State, NIGERIA


Abstract. An SEIR epidemic model is investigated to ascertain the impact of exposed individuals at latent period (individuals who are infected but not yet infectious) on the transmission dynamics of measles. Mathematical analysis is carried out that completely determine the dynamics of the model. The impact of exposed individuals at latent period are discussed through the stability analysis and numerical simulation.

Received: June 25, 2013

AMS Subject Classification: 92D40, 92D25, 34D20

Key Words and Phrases: epidemic models, equilibrium states, stability, epidemiology

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DOI: 10.12732/ijpam.v87i5.4 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: 2013
Volume: 87
Issue: 5