alexa Numerical Study of a Seivr Epidemic Model among Infants with Vaccination and Temporary Immune Protection | OMICS International | Abstract
ISSN: 2168-9679

Journal of Applied & Computational Mathematics
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Research Article

Numerical Study of a Seivr Epidemic Model among Infants with Vaccination and Temporary Immune Protection

AO Binuyo1*, SA Odejide2 and YAS Aregbesola3

1Department of Physical Sciences, Ajayi Crowther University, Oyo, Nigeria

2Obafemi Awolowo University, Department of Mathematics, Ile-Ife, Nigeria

3Ladoke Akintola University of Technology, Department of Pure and Applied Mathematics, Ogbomoso, Nigeria

*Corresponding Author:
AO Binuyo
Department of Physical Sciences
Ajayi Crowther University, Oyo, Nigeria
Tel: 8144349917
E-mail: [email protected]

Received Date: October 22, 2013; Accepted Date: January 06, 2014; Published Date: January 10, 2014

Citation: Binuyo AO, Odejide SA, Aregbesola YAS (2014) Numerical Study of a Seivr Epidemic Model among Infants with Vaccination and Temporary Immune Protection. J Appl Computat Math 3:151. doi: 10.4172/2168-9679.1000151

Copyright: © 2014 Binuyo AO, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Abstract

In this work, the numerical study of a deterministic mathematical model of an SEIVR (Susceptible-Exposed- Infected-Vaccinated-Recovered) epidemic model among infants was carried out. This model incorporates a temporary immune recovery class which involves subsequent dose vaccination for the infants. Hypothetical values were chosen for the parameters to test the validity of the mathematical model. The parameter with the greatest impact on the model was computed using the eigenvalue elasticity and sensitivity analyses and it was found that the parameter of the rate at which the vaccine wanes in the infants (ω) has the greatest impact on the mathematical model.

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