(Universal Journal of Applied Mathematics, 2013-12-12) Abubakar, Samuel; Akinwande, N. I.; Abdulrahman, S.; Oguntolu, F. A.
In this paper we proposed a Mathematical
model of Measles disease dynamics. The Disease Free
Equilibrium (DFE) state, Endemic Equilibrium (EE) states
and the characteristic equation of the model were obtained.
The condition for the stability of the Disease Free
equilibrium state was obtained. We analyze the bifurcation
of the Disease Free Equilibrium (DFE) and the result of the
analysis was presented in a tabular form.