Approximate Solution of a Large Fractional Order Ebola Virus Disease Model with Control Measures via the Laplace - Adomian Decomposition Method
Queeneth Ojoma Ahman1*, Chinedu Stephene Ugwu2, Ikechukwu Vincent Ezaegu3, Ndidiamaka Edith Didugwu4, David Omale5, Femi Adegboye6 and Godwin Christopher Ezike Mbah7
1Department of Mathematics/Statistics, Confluence University of Science and Technology, Osara. Kogi State, Nigeria
2Department of Computer Science and Mathematics, Godfrey Okoye University, Enugu Nigeria
3Department of Mathematics, Ebonyi State University Abakaliki, Nigeria
4Department Industrial Mathematics and Statistics, Enugu State University of Science and Technology, Enugu, Nigeria
5Department of Mathematical Sciences, Kogi State University Anyigba, Nigeria
6Department of Mathematics/Statistics, Confluence University of Science and Technology, Osara. Kogi State, Nigeria
7Department of Mathematics, University of Nigeria, Nsukka Nigeria
*Corresponding Author: Queeneth Ojoma Ahman, Department of Mathematics/Statistics, Confluence University of Science and Technology, Osara. Kogi State, Nigeria.
Published: December 07, 2023
Abstract
In this paper we presented an Ebola Virus Disease fractional order model in the Caputo sense with eighteen compartments. This model considered vaccination, condom use, quarantine, use of treatment drugs and isolation as control measures combined together. We showed that the model has non-negative solution. The stability of the equilibria was discussed and Laplace Adomian Decomposition Method is used to obtain the analytic or approximate solution of the system of non-linear fractional differential equation. It was observed or shown that with the Laplace Adomian Decomposition Method an approximate solution of a fractional order Ebola Virus Disease Model as large as eighteen compartments can be obtained and the result is close to the exact solution.
Keywords: Laplace Adomian Decomposition Method; Ebola Virus Disease; Fractional Order Model; Analytic solutions; Approximate Solutions
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