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<p>We present a qualitative analysis of Susceptible–Latent–Infective-Recovered (SLIR) model for the transmission of Tuberculosis (TB). The model reflects the interaction between susceptible individuals, latent infection, active cases, and control measures. The behavior of the model is analyzed through its feasibility, positivity, equilibria, and stability. It is shown that TB infection can be stable for both endemic and disease-free equilibrium. Our findings provide an insight into the TB transmission and control, informing about early case detection, effective treatment, and evidence-based decision-making to reduce the global TB burden.</p>

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QUALITATIVE ANALYSIS OF A MATHEMATICAL MODEL OF TRANSMISSION AND CONTROL OF TUBERCULOSIS DISEASE

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • E. U. Oghenerukevwe,
  • E. O. Golohor,
  • B. S. Ogundare

摘要

We present a qualitative analysis of Susceptible–Latent–Infective-Recovered (SLIR) model for the transmission of Tuberculosis (TB). The model reflects the interaction between susceptible individuals, latent infection, active cases, and control measures. The behavior of the model is analyzed through its feasibility, positivity, equilibria, and stability. It is shown that TB infection can be stable for both endemic and disease-free equilibrium. Our findings provide an insight into the TB transmission and control, informing about early case detection, effective treatment, and evidence-based decision-making to reduce the global TB burden.