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Global Stability Analysis of a Brucellosis Transmission Model Using the Treatment Effect

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  • Rami Raad Saadi
  • Rasha M. Yaseen
  • Ahmed Ali Mohsen

Abstract

We formulate and study in this paper a deterministic compartmental model that explains the dynamics of the transmission of brucellosis from livestock to human populations. The model consists of five compartments: susceptible and infected livestock and susceptible, infected, and chronically infected human individuals. We get the basic R0 by using the next-generation matrix method and deduce threshold conditions governing the disease dynamics. Utilizing Lyapunov functions and LaSalle's invariance principle, we deduce thatR0 1is a condition for global stability of the endemic equilibrium. Our findings provide a theoretical basis for planning effective intervention strategies to avert and perhaps eradicate brucellosis in endemic regions.

Suggested Citation

  • Rami Raad Saadi & Rasha M. Yaseen & Ahmed Ali Mohsen, 2026. "Global Stability Analysis of a Brucellosis Transmission Model Using the Treatment Effect," Journal of Applied Mathematics, Hindawi, vol. 2026, pages 1-10, June.
    • Handle: RePEc:hin:jnljam:9606053
    DOI: 10.1155/jama/9606053
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