APPLICATION OF FRACTIONAL DIFFERENTIAL CALCULUS TO THE DYNAMICS OF EBOLA VIRUS DISEASE COMBINING VACCINE, CONDOM, QUARANTINE, ISOLATION AND TREATMENT DRUGS AS MEASURES

AHMAN, Queeneth Ojoma and Omale, David and Atokolo, Williams and Nnaji, Daniel Ugochukwu and UGWU, Chinedu Stephen and MBAH, Godwin Christopher Ezike (2020) APPLICATION OF FRACTIONAL DIFFERENTIAL CALCULUS TO THE DYNAMICS OF EBOLA VIRUS DISEASE COMBINING VACCINE, CONDOM, QUARANTINE, ISOLATION AND TREATMENT DRUGS AS MEASURES. Academic Journal of Statistics and Mathematics (AJSM), 6 (11). pp. 1-25. ISSN 5730 – 7151

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Abstract

The main aim of this work is to formulate a transmission model of the dynamics of Ebola Virus Disease (EVD) by combining vaccine, condom use, quarantine, isolation and treatment drug together as control measures in a population consisting of human and animal populations using fractional order derivatives which has an added advantage over the integer order model because of its special property known as memory effect which seems to be useful for epidemic models such as ours. Our fractional order mathematical model initial value problem is based on the Caputo fractional order derivative. Using the next generation matrix approach the effective reproduction number for the model was obtained and used to analyze the stability of EVD - Free Equilibrium and EVD - Infection Equilibrium points of the model. The EVD - Free Equilibrium point was found to be locally asymptotically stable while the EVD - Infection Equilibrium point was unstable as the system exhibits a forward bifurcation. Finally, a brief comparison between the fractional order and integer order solutions was made in our numerical simulations and the result shows that as we increase the value of alpha the fractional order solution gets closer to the integer order solution as

Item Type: Article
Subjects: Q Science > Q Science (General)
Divisions: Faculty of Natural and Applied Sciences
Depositing User: Uchenna Eneogwe
Date Deposited: 09 Jun 2025 09:20
Last Modified: 09 Jun 2025 09:20
URI: http://eprints.gouni.edu.ng/id/eprint/4791

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