Abstract
In this article, to monitor the rise in the public Ebola Virus,
we will discuss the complex transmission and epidemic problems. The
Caputo-Fabrizio fractional derivative operator of order Ω ∈ (0, 1] is used
to obtain fractional differential equations structure. The stability of fractional order model is developed and unique non-negative solution is tested.
The numerical simulations are performed by using an iterative technique.
Sumudo transformation method is used to solve the fractional order model.
The nature and stability of the ebola virus system with fractional order derivative is dealt mostly. In the form of Caputo-Fabrizio, a new approach to
this form of biological model associated with derivative is applied. Some
new results are being viewed with the help of Sumudo transformation.
Furthermore, the existence and uniqueness of results for equilibrium solutions have been proved by Banach theorem. However, mathematical simulations are also acknowledged to evaluate the impact of the model parameters by increasing the disease and showing the effect of the Ω fractional
parameter on our solutions obtained. The impact of various parameters is
graphically displayed.
Muhammad Farman, Qasim Bin Rasheed, Muhammad Umer Saleem, Aqeel Ahmad. (2020) Modelling and Analysis of the Fractional Order Ebola Virus Model with Caputo Fabrizio Derivative, Punjab University Journal of Mathematics, Volume 52 , Issue 10.
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