Solution Of A Large Evd Compartmental Model System Using Homotopy Perturbation Method
Queeneth Ojoma AHMAN
Department of Mathematics/Statistics, Confluence University of Science and Technology, Osara. Kogi State, Nigeria.
Ndidiamaka Edith DIDUGWU
Department Industrial Mathematics and Statistics, Enugu State University of Science and Technology, Enugu Nigeria.
Chinedu Stephene UGWU
Department of Computer Science and Mathematics, Godfrey Okoye University, Enugu Nigeria.
Vincent Ikechukwu EZAEGU
Department of Mathematics, Ebonyi State University Abakaliki, Nigeria.
Godwin Christopher Ezike MBAH.
Department of Mathematics, University of Nigeria, Nsukka.
Keywords: Approximate solution, Ebola Virus Disease Model, Homotopy Perturbation Method, Maple software.
Abstract
Ebola Virus Disease is a disease (EVD) that is endemic for a long time now as we keep getting information continually of its recent activities in some parts of the world. The 2014 Ebola outbreak brought about the interest of researchers in the area of the disease. This present research presents a large eighteen compartments dynamic equation of Ebola Virus Disease with control measures. We applied the Homotopy Perturbation Method (HPM) technique to determine an approximate (analytic) solution of the model. HPM produced a solution that is close (converges) to the exact value. This work has been able to show that a large eighteen compartmental EVD model equation can be solved using HPM which has not been shown before in literature.