Document Type : Article
Authors
1
Department of Mathematics, Riphah International University, Main Satyana Road, Faisalabad 44000, Pakistan
2
Department of Mathematics, Government College University Faisalabad, 38000, Pakistan
3
Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia
4
Department of Engineering and Computer Science, National University of Modern Languages, Islamabad 44000, Pakistan
5
- Department of Mathematics and Sciences, College of Humanities and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia - Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, 40402, Taiwan - Department of Mathematics, Faculty of Science, The Hashemite University, P.O Box 330127, Zarqa 13133, Jordan
10.24200/sci.2024.63509.8441
Abstract
The Ebola virus is a highly infectious disease that can propagate throughout a
population depending on how people interact in society. This research presents a modified
mathematical model of the Ebola Virus Disease, using effective control strategies such as
Quarantine, Self-Isolated and Hospitalized Individuals. These Compartments have played
a key role in understanding the transmission of the Ebola Virus Disease in the society. By
using a conformable derivative, a system of equations has been developed for the Ebola
Virus Disease model. Basic reproduction number R0 has been determined using the Nextgeneration
matrix method. To understand the impact of parameter variations on Ebola
virus disease, sensitivity analysis of R0 has been observed. Stability analysis has been calculated
at both the disease-free equilibrium point and the disease-present equilibrium point
to assess the behaviour of virus. The conformable derivative facilitates a smooth transition
from fractional order to classical models as the parameter (c) approaches to 1. Additionally,
implementation of quarantine, self-isolation, and hospitalization emerges as a highly effective
strategy, significantly reduced Ebola virus disease in society. These findings enhance
our understanding of Ebola dynamics and offer critical implications for effective outbreak
control strategies.
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