The analysis of vaccination and treatment of Measles diseases Described by a Fractional order SIR epidemiological model

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In this work, a fractional order SIR model with vaccination ( 1 ) and treatment ( 2 ) is formulated to describe measles disease. Firstly, the method of solution shows that the model possess non-negative solutions as desired in any population dynamics. The basic reproductive number is established, and a thorough analysis is carried out to study the stability of the equilibrium points. Numerical solutions are presented to illustrate the stability analysis using Generalized Euler method. Graphical results are presented and discussed. The obtained result showed that the disease will persists within the population if there is no vaccination ( 1 ) and treatment ( 2 ).
A thesis submitted to the Department of Mathematics, Kwame Nkrumah Nniversity of Science and Technology in partial fulfillment of the requirements for the award of M.phil Applied Mathematics,