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|Title: ||The analysis of vaccination and treatment of Measles diseases Described by a Fractional order SIR epidemiological model|
|Authors: ||Yaro, David|
|Issue Date: ||14-Nov-2014|
|Abstract: ||In this work, a fractional order SIR model with vaccination (
) and treatment
) 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 (
) and treatment (
|Description: ||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, 2014|
|Appears in Collections:||College of Science|
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