Assessing the Impact of Vaccination and Treatment on Measles Transmission Dynamics

Authors

  • Salisu Garba* University of Pretoria
  • Mohammad Safi Department of Mathematics, The Hashemite University, Zarqa, Jordan
  • Salisu Usaini University of Pretoria

DOI:

https://doi.org/10.11145/542

Abstract

Measles is an infection of the respiratory system caused by a virus ofthe genus Morbillivirus. The disease is spread through respiration follow-ing contact withВ uids from an infected person's nose and mouth, eitherdirectly or indirectly. The disease is contagious with 90% chances of beinginfected by individuals (without immunity). Measles infects about 30-40million children each year. In this talk we present A deterministicmodel for the transmission dynamics of measles in a population with frac-tion of vaccinated individuals. The model is rigorously analyzed for itsdynamical features. Results for the existence and stability of equilibria, aswell as bifurcation analysis is presented. Some numerical results to assessthe impact of vaccination and treatment are also presented.

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Published

2015-05-29

Issue

Vol. 2 No. 1 (2015)

Section

Conference Contributions (Pretoria)

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