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Mathematical Analysis of Rabies Infection

Author

Listed:
  • C. S. Bornaa
  • Baba Seidu
  • M. I. Daabo

Abstract

A mathematical model is proposed to study the dynamics of the transmission of rabies, incorporating predation of dogs by humans. The model is shown to have a unique disease‐free equilibrium which is globally asymptotically stable whenever ℛ0 ≤ 1. Local sensitivity analysis suggests that the disease can be controlled through reducing contact with infected dogs, increasing immunization of dogs, screening recruited dogs, culling of infected dogs, and use of dog meat as a delicacy.

Suggested Citation

  • C. S. Bornaa & Baba Seidu & M. I. Daabo, 2020. "Mathematical Analysis of Rabies Infection," Journal of Applied Mathematics, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnljam:v:2020:y:2020:i:1:n:1804270
    DOI: 10.1155/2020/1804270
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    References listed on IDEAS

    as
    1. Joshua Kiddy K. Asamoah & Francis T. Oduro & Ebenezer Bonyah & Baba Seidu, 2017. "Modelling of Rabies Transmission Dynamics Using Optimal Control Analysis," Journal of Applied Mathematics, John Wiley & Sons, vol. 2017(1).
    2. Joshua Kiddy K. Asamoah & Francis T. Oduro & Ebenezer Bonyah & Baba Seidu, 2017. "Modelling of Rabies Transmission Dynamics Using Optimal Control Analysis," Journal of Applied Mathematics, Hindawi, vol. 2017, pages 1-23, July.
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    Cited by:

    1. Mfano Charles & Sayoki G. Mfinanga & G. A. Lyakurwa & Delfim F. M. Torres & Verdiana G. Masanja, 2025. "A Mathematical and Optimal Control Model for Rabies Transmission Dynamics Among Humans and Dogs With Environmental Effects," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).

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