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<p>Media interventions play a critical role in shaping public behavior to reduce disease transmission during epidemics. Concurrently, suboptimal adherence to tuberculosis (TB) treatment elevates the risks of therapeutic failure, relapse, and drug-resistant strains. Motivated by these considerations, this study develops a nonlinear TB transmission dynamical model that integrates the effects of media coverage and treatment adherence. We analyze the stability of equilibria and establish uniform persistence of the disease. Sensitivity analysis of the basic reproduction number <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathcal{R}_0\)</EquationSource> </InlineEquation> informs the formulation of an optimal control framework incorporating three interventions: public health education, enhanced treatment adherence and timely treatment. Numerical simulations highlight that enhancing information coverage and treatment adherence significantly contribute to TB mitigation. Furthermore, the synergistic application of all three control measures proves highly effective in suppressing transmission, while cost-effectiveness analysis identifies the combination of public health education and enhanced treatment adherence as the most cost-effective among the strategies considered.</p>

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Stability analysis and optimal control strategy of a tuberculosis model with media coverage and treatment adherence

  • 期刊论文

  • 发表日期：

    2025年11月28日

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  • Linming Che,
  • Lianwen Wang,
  • Zhijun Liu

摘要

Media interventions play a critical role in shaping public behavior to reduce disease transmission during epidemics. Concurrently, suboptimal adherence to tuberculosis (TB) treatment elevates the risks of therapeutic failure, relapse, and drug-resistant strains. Motivated by these considerations, this study develops a nonlinear TB transmission dynamical model that integrates the effects of media coverage and treatment adherence. We analyze the stability of equilibria and establish uniform persistence of the disease. Sensitivity analysis of the basic reproduction number \(\mathcal{R}_0\) informs the formulation of an optimal control framework incorporating three interventions: public health education, enhanced treatment adherence and timely treatment. Numerical simulations highlight that enhancing information coverage and treatment adherence significantly contribute to TB mitigation. Furthermore, the synergistic application of all three control measures proves highly effective in suppressing transmission, while cost-effectiveness analysis identifies the combination of public health education and enhanced treatment adherence as the most cost-effective among the strategies considered.