Gümüş Mehmet, Teklu Shewafera Wondimagegnhu, Sezgin Aleyna
Department of Mathematics, College of Natural and Computational Sciences, Debre Berhan University, Debre Berhan, Ethiopia.
Department of Mathematics, Faculty of Science, Zonguldak Bülent Ecevit University, 67100, Zonguldak, Turkey.
Sci Rep. 2025 Jul 30;15(1):27737. doi: 10.1038/s41598-025-13287-7.
Tonsillitis represents a significant public health concern, particularly for children and adolescents, leading to substantial socioeconomic costs. To address this, we developed a compartmental mathematical model to investigate the disease's transmission dynamics and determine optimal intervention strategies. The model's analysis establishes the conditions for disease persistence and eradication. Using optimal control theory, we assessed the effectiveness of preventative measures as well as treatments for both acute and chronic stages of the infection. Our findings demonstrate that a multi-faceted approach is superior to any single strategy. The most effective and robust reduction in disease prevalence is achieved by an integrated strategy that combines prevention with enhanced treatment protocols. This study offers a quantitative tool for public health officials, providing an evidence-based framework to design and implement more effective policies for controlling tonsillitis.
扁桃体炎是一个重大的公共卫生问题，对儿童和青少年尤为如此，会导致巨大的社会经济成本。为解决这一问题，我们开发了一个分区数学模型，以研究该疾病的传播动态并确定最佳干预策略。模型分析确定了疾病持续存在和根除的条件。利用最优控制理论，我们评估了预防措施以及针对感染急性和慢性阶段的治疗方法的有效性。我们的研究结果表明，多方面的方法优于任何单一策略。通过将预防与强化治疗方案相结合的综合策略，可以最有效且有力地降低疾病流行率。本研究为公共卫生官员提供了一个定量工具，为设计和实施更有效的扁桃体炎控制政策提供了一个基于证据的框架。
