A Mathematical Model for Control and Elimination of the Transmission Dynamics of Measles
Applied and Computational Mathematics
Volume 4, Issue 6, December 2015, Pages: 396-408
Received: Aug. 10, 2015; Accepted: Sep. 7, 2015; Published: Sep. 29, 2015
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Authors
Stephen Edward, Department of Mathematics, College of Natural and Mathematical Sciences, University of Dodoma (UDOM), Dodoma, Tanzania
Kitengeso Raymond E., Department of Mathematics, College of Natural and Mathematical Sciences, University of Dodoma (UDOM), Dodoma, Tanzania
Kiria Gabriel T., Department of Mathematics, College of Natural and Mathematical Sciences, University of Dodoma (UDOM), Dodoma, Tanzania
Felician Nestory, Department of Mathematics, College of Natural and Mathematical Sciences, University of Dodoma (UDOM), Dodoma, Tanzania
Mwema Godfrey G., Department of Mathematics, College of Natural and Mathematical Sciences, University of Dodoma (UDOM), Dodoma, Tanzania
Mafarasa Arbogast P., Department of Mathematics, College of Natural and Mathematical Sciences, University of Dodoma (UDOM), Dodoma, Tanzania
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Abstract
Despite the availability of measles vaccine since 1963, the infectious disease is still endemic in many parts of the world including developed nations. Elimination of measles requires maintaining the effective reproduction number less than unity, Re <1 as well as achieving low levels of susceptibility. Infectious diseases are great field for mathematical modeling, and for connecting mathematical models to primary or secondary data. In this project, we concentrated on the mathematical model for control and elimination of transmission dynamics of measles. We have obtained disease free equilibrium (DFE) point, effective reproduction number and basic reproduction number for the model. Simulations of different variables of the model have been performed and sensitivity analysis of different embedded parameters has been done. MATLAB has been used in simulations of the ordinary differential equations (ODEs) as well as the reproduction numbers.
Keywords
Measles, Vaccination, Immunity, Mathematical Modelling, Herd Immunity
To cite this article
Stephen Edward, Kitengeso Raymond E., Kiria Gabriel T., Felician Nestory, Mwema Godfrey G., Mafarasa Arbogast P., A Mathematical Model for Control and Elimination of the Transmission Dynamics of Measles, Applied and Computational Mathematics. Vol. 4, No. 6, 2015, pp. 396-408. doi: 10.11648/j.acm.20150406.12
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