Transmission Dynamics and Control of Amebiasis: A Mathematical Model with Vaccination Interventions

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Abstract

This study introduces a novel mathematical model for amebiasis transmission dynamics, incorporating vaccination and optimal control strategies. A key finding reveals that indirect transmission plays a more significant role than direct transmission in disease spread, highlighting the importance of environmental factors in amebiasis transmission. Our model’s sensitivity analysis and stability analysis provide crucial insights into disease control, identifying key parameters that influence transmission dynamics. Notably, our optimal control results demonstrate that a multi-faceted approach combining awareness campaigns, sanitation, and treatment is the most effective strategy for controlling amebiasis. This approach not only reduces disease transmission but also minimizes the risk of outbreaks. Furthermore, our results show that awareness campaigns are the most effective single intervention, while combining awareness campaigns and vaccination with treatment yields optimal results when these interventions are available. This research contributes significantly to the development of evidence-based policies for amebiasis control, offering valuable insights for policymakers and public health officials. By providing a quantitative framework for evaluating control strategies.

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