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

Innocent Sosoma, Eunice Mureithi and Nyimvua Shaban Mbare

Abstract and Applied Analysis, 2025, vol. 2025, 1-19

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

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:6552487

DOI: 10.1155/aaa/6552487

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