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Stability And Bifurcation Analysis Of An Epidemic Model For Ebola Virus Dynamics With Control Strategies

Author

Listed:
  • 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)

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.

Suggested Citation

  • Imtiaz Ahmad & Farhad Hussain & Nabil Mlaiki & Nigar Ali & Zahid Ullah & Afifah Al Eid & Nahid Fatima, 2025. "Stability And Bifurcation Analysis Of An Epidemic Model For Ebola Virus Dynamics With Control Strategies," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(08), pages 1-21.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:08:n:s0218348x25401619
    DOI: 10.1142/S0218348X25401619
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