STABILITY AND BIFURCATION ANALYSIS OF AN EPIDEMIC MODEL FOR EBOLA VIRUS DYNAMICS WITH CONTROL STRATEGIES

Imtiaz Ahmad (), Farhad Hussain, Nabil Mlaiki (), Nigar Ali, Zahid Ullah (), Afifah Al Eid () and Nahid Fatima ()
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Imtiaz Ahmad: Department of Mathematics, University of Malakand, Chakdara Dir(L) 18000, Khyber Pakhtunkhwa, Pakistan
Farhad Hussain: Department of Mathematics, University of Malakand, Chakdara Dir(L) 18000, Khyber Pakhtunkhwa, Pakistan
Nabil Mlaiki: ��Department of Mathematics and Science, Prince Sultan University, Riyadh 11586, Saudi Arabia
Nigar Ali: Department of Mathematics, University of Malakand, Chakdara Dir(L) 18000, Khyber Pakhtunkhwa, Pakistan
Zahid Ullah: Department of Mathematics, University of Malakand, Chakdara Dir(L) 18000, Khyber Pakhtunkhwa, Pakistan
Afifah Al Eid: ��Department of Mathematics and Science, Prince Sultan University, Riyadh 11586, Saudi Arabia
Nahid Fatima: ��Department of Mathematics and Science, Prince Sultan University, Riyadh 11586, Saudi Arabia

FRACTALS (fractals), 2025, vol. 33, issue 08, 1-21

Abstract: This study presents a mathematical model that analyzes the dynamics of the Ebola virus with an exponential incidence rate, incorporating vaccination as a key control measure. The model ensures positivity, boundedness, and the existence of solution, while maintaining biological relevance. The basic reproductive number R0 serves as a threshold: R0 < 1 implies disease eradication, while R0 > 1 suggests persistence with an endemic equilibrium. Vaccination and hospitalization have been shown to reduce R0, which aids in disease control. Bifurcation and sensitivity analyses highlight the key parameters influencing R0 and inform public health strategies. Numerical simulations using the RK4 and NSFD methods validate the findings and provide valuable information on effective Ebola control measures.

Keywords: Ebola Virus; Stability Analysis; Sensitivity Analysis; Bifurcation Analysis; RK-4 and NSFD Methods (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0218348X25401619

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