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Mathematical Modeling of Brucellosis Transmission Dynamics and Its Age‐Specific Applications

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  • Innocent Sosoma
  • Eunice Mureithi
  • Nyimvua Shaban Mbare

Abstract

Brucellosis remains a significant public health and economic burden, especially in developing nations where livestock–human interactions are frequent. This paper presents a partial differential equation (PDE) model to capture the transmission dynamics of brucellosis, with a focus on age‐specific impacts in humans and domestic animals. Using the integrated semigroup approach, the positivity and boundedness of the model were established ensuring biologically meaningful solutions. The basic reproduction number (R0) was derived through the Lotka–Sharpe–McKendrick integral equation, and the disease‐free equilibrium (DFE) was proven to be locally asymptotically stable when R0

Suggested Citation

  • Innocent Sosoma & Eunice Mureithi & Nyimvua Shaban Mbare, 2025. "Mathematical Modeling of Brucellosis Transmission Dynamics and Its Age‐Specific Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jnlaaa:v:2025:y:2025:i:1:n:6552487
    DOI: 10.1155/aaa/6552487
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    References listed on IDEAS

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    1. Nkuba Nyerere & Livingstone S. Luboobi & Saul C. Mpeshe & Gabriel M. Shirima, 2020. "Optimal Control Strategies for the Infectiology of Brucellosis," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2020, pages 1-17, May.
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