Optimal intervention design for tonsillitis transmission via compartmental modeling with stability analysis and control strategies
Abstract 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 interv...
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Nature Portfolio
2025-07-01
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| Series: | Scientific Reports |
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| Online Access: | https://doi.org/10.1038/s41598-025-13287-7 |
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| author | Mehmet Gümüş Shewafera Wondimagegnhu Teklu Aleyna Sezgin |
| author_facet | Mehmet Gümüş Shewafera Wondimagegnhu Teklu Aleyna Sezgin |
| author_sort | Mehmet Gümüş |
| collection | DOAJ |
| description | Abstract 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. |
| format | Article |
| id | doaj-art-8e129549455049e4aebd6b6f72c0f5b9 |
| institution | Kabale University |
| issn | 2045-2322 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj-art-8e129549455049e4aebd6b6f72c0f5b92025-08-20T03:42:29ZengNature PortfolioScientific Reports2045-23222025-07-0115112610.1038/s41598-025-13287-7Optimal intervention design for tonsillitis transmission via compartmental modeling with stability analysis and control strategiesMehmet Gümüş0Shewafera Wondimagegnhu Teklu1Aleyna Sezgin2Department of Mathematics, College of Natural and Computational Sciences, Debre Berhan UniversityDepartment of Mathematics, Faculty of Science, Zonguldak Bülent Ecevit UniversityDepartment of Mathematics, Faculty of Science, Zonguldak Bülent Ecevit UniversityAbstract 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.https://doi.org/10.1038/s41598-025-13287-7TonsillitisInfectionCompartmental modelStability analysis, optimal control theory |
| spellingShingle | Mehmet Gümüş Shewafera Wondimagegnhu Teklu Aleyna Sezgin Optimal intervention design for tonsillitis transmission via compartmental modeling with stability analysis and control strategies Scientific Reports Tonsillitis Infection Compartmental model Stability analysis, optimal control theory |
| title | Optimal intervention design for tonsillitis transmission via compartmental modeling with stability analysis and control strategies |
| title_full | Optimal intervention design for tonsillitis transmission via compartmental modeling with stability analysis and control strategies |
| title_fullStr | Optimal intervention design for tonsillitis transmission via compartmental modeling with stability analysis and control strategies |
| title_full_unstemmed | Optimal intervention design for tonsillitis transmission via compartmental modeling with stability analysis and control strategies |
| title_short | Optimal intervention design for tonsillitis transmission via compartmental modeling with stability analysis and control strategies |
| title_sort | optimal intervention design for tonsillitis transmission via compartmental modeling with stability analysis and control strategies |
| topic | Tonsillitis Infection Compartmental model Stability analysis, optimal control theory |
| url | https://doi.org/10.1038/s41598-025-13287-7 |
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