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<p>Conjunctivitis remains a significant public health concern due to its high transmissibility and recurring outbreaks. This study develops a deterministic mathematical model to analyze its transmission dynamics, with a particular focus on the impact of public health education as a control measure. Unlike previous models, this study integrates real-world data for validation, ensuring the accuracy of parameter estimates and model structure. Using the Next-Generation Matrix approach, we derive the basic reproduction number (<InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="40808_2025_2393_Article_IEq1.gif" Format="GIF" Height="16" Rendition="HTML" Resolution="72" Type="Linedraw" Width="22" /> </InlineMediaObject> <EquationSource Format="TEX">\({\mathcal {R}}_0\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi mathvariant="script">R</mi> <mn>0</mn> </msub> </math></EquationSource> </InlineEquation>) and establish conditions for disease-free and endemic equilibrium stability. Numerical simulations demonstrate that public health education effectively reduces infection rates, shortens the duration of infection, and lowers bacterial loads more efficiently than other non-pharmaceutical interventions. These findings underscore the potential of education campaigns as a powerful strategy to break transmission chains and reduce the overall burden of conjunctivitis, providing valuable insights for policymakers and public health officials.</p>

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A deterministic mathematical model for conjunctivitis incorporating public health education as a control measure

  • 期刊论文

  • 发表日期：

    2025年4月12日

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  • Jufren Zakayo Ndendya,
  • Yustina Amon Liana

摘要

Conjunctivitis remains a significant public health concern due to its high transmissibility and recurring outbreaks. This study develops a deterministic mathematical model to analyze its transmission dynamics, with a particular focus on the impact of public health education as a control measure. Unlike previous models, this study integrates real-world data for validation, ensuring the accuracy of parameter estimates and model structure. Using the Next-Generation Matrix approach, we derive the basic reproduction number ( \({\mathcal {R}}_0\) R 0 ) and establish conditions for disease-free and endemic equilibrium stability. Numerical simulations demonstrate that public health education effectively reduces infection rates, shortens the duration of infection, and lowers bacterial loads more efficiently than other non-pharmaceutical interventions. These findings underscore the potential of education campaigns as a powerful strategy to break transmission chains and reduce the overall burden of conjunctivitis, providing valuable insights for policymakers and public health officials.