Understanding the oscillations of an epidemic due to vaccine hesitancy
Vaccine hesitancy threatens to reverse the progress in tackling vaccine-preventable diseases. We used an $ SIS $ model with a game theory model for vaccination and parameters from the COVID-19 pandemic to study how vaccine hesitancy impacts epidemic dynamics. The system showed three asymptotic behav...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-08-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2024299 |
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| author | Anthony Morciglio R. K. P. Zia James M. Hyman Yi Jiang |
| author_facet | Anthony Morciglio R. K. P. Zia James M. Hyman Yi Jiang |
| author_sort | Anthony Morciglio |
| collection | DOAJ |
| description | Vaccine hesitancy threatens to reverse the progress in tackling vaccine-preventable diseases. We used an $ SIS $ model with a game theory model for vaccination and parameters from the COVID-19 pandemic to study how vaccine hesitancy impacts epidemic dynamics. The system showed three asymptotic behaviors: total rejection of vaccinations, complete acceptance, and oscillations. With increasing fear of infection, stable endemic states become periodic oscillations. Our results suggest that managing fear of infection relative to vaccination is vital to successful mass vaccinations. |
| format | Article |
| id | doaj-art-e72c8a9c65e64cf1a9309cef222ad428 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-e72c8a9c65e64cf1a9309cef222ad4282025-01-23T07:47:47ZengAIMS PressMathematical Biosciences and Engineering1551-00182024-08-012186829684610.3934/mbe.2024299Understanding the oscillations of an epidemic due to vaccine hesitancyAnthony Morciglio0R. K. P. Zia1James M. Hyman2Yi Jiang3Department of Mathematics and Statistics, Georgia State University, Atlanta, GA 30303, USACenter for Soft Matter and Biological Physics, Department of Physics, Virginia Tech, Blacksburg, VA 24061, USADepartment of Mathematics, Tulane University, New Orleans, LA 70118, USADepartment of Mathematics and Statistics, Georgia State University, Atlanta, GA 30303, USAVaccine hesitancy threatens to reverse the progress in tackling vaccine-preventable diseases. We used an $ SIS $ model with a game theory model for vaccination and parameters from the COVID-19 pandemic to study how vaccine hesitancy impacts epidemic dynamics. The system showed three asymptotic behaviors: total rejection of vaccinations, complete acceptance, and oscillations. With increasing fear of infection, stable endemic states become periodic oscillations. Our results suggest that managing fear of infection relative to vaccination is vital to successful mass vaccinations.https://www.aimspress.com/article/doi/10.3934/mbe.2024299vaccine hesitancyvaccination game theoryoscillationscovid-19$ sis $$ siv $ |
| spellingShingle | Anthony Morciglio R. K. P. Zia James M. Hyman Yi Jiang Understanding the oscillations of an epidemic due to vaccine hesitancy Mathematical Biosciences and Engineering vaccine hesitancy vaccination game theory oscillations covid-19 $ sis $ $ siv $ |
| title | Understanding the oscillations of an epidemic due to vaccine hesitancy |
| title_full | Understanding the oscillations of an epidemic due to vaccine hesitancy |
| title_fullStr | Understanding the oscillations of an epidemic due to vaccine hesitancy |
| title_full_unstemmed | Understanding the oscillations of an epidemic due to vaccine hesitancy |
| title_short | Understanding the oscillations of an epidemic due to vaccine hesitancy |
| title_sort | understanding the oscillations of an epidemic due to vaccine hesitancy |
| topic | vaccine hesitancy vaccination game theory oscillations covid-19 $ sis $ $ siv $ |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2024299 |
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