Work

Comprehensive Analysis of Conformable Mathematical Model of Ebola Virus with Effective Control Strategies

Year: 2024

Type: article

Abstract: The Ebola virus is a highly infectious disease that can propagate throughout apopulation depending on how people interact in society. This research presents a modifiedmathematical model of the Ebola Virus Disease, using effective control strategies such asQuarantine, Self-Isolated and Hospitalized Individuals. These Compartments have playeda key role in understanding the transmission of the Ebola Virus Disease in the society. Byusing a conformable derivative, a system of equations has been developed for the EbolaVirus Disease model. Basic reproduction number R0 has been determined using the Nextgenerationmatrix method. To understand the impact of parameter variations on Ebolavirus disease, sensitivity analysis of R0 has been observed. Stability analysis has been calculatedat both the disease-free equilibrium point and the disease-present equilibrium pointto assess the behaviour of virus. The conformable derivative facilitates a smooth transitionfrom fractional order to classical models as the parameter (c) approaches to 1. Additionally,implementation of quarantine, self-isolation, and hospitalization emerges as a highly effectivestrategy, significantly reduced Ebola virus disease in society. These findings enhanceour understanding of Ebola dynamics and offer critical implications for effective outbreakcontrol strategies.

Source: Scientia Iranica

DOI: 10.24200/sci.2024.63509.8441

Authors: Syeda Alishwa Zanib, Sehrish Ramzan, Nadeem Abbas, Aqsa Nazir, Wasfi Shatanawi