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International Journal of Innovative Research and Development, Vol 4, No 4 (2015), Pagination:
Abstract
In this paper, a fractional order SIRV model with the rate of vaccination () and treatment () is formulated to describe measles disease. The fractional derivatives are described by Caputo's sense. A study of the effect of eradicating measles can be observed by varying the value of and . A Generalized Euler method (GEM) is considered in this paper to obtain an approximate solution of the model. The stability analysis of the equilibrium points is obtained. A numerical simulation of the solution is carried out and represented graphically.
Keywords
Measles infection, generalized Euler method, fractional differential equation
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