The impact of ambient air pollution on an influenza model with partial immunity and vaccination
In this paper, we investigate the effects of ambient air pollution (AAP) on the spread of influenza in an AAP-dependent dynamic influenza model. The value of this study lies in two aspects. Mathematically, we establish the threshold dynamics in the term of the basic reproduction number $ \mathcal{R}...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-03-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023451?viewType=HTML |
| _version_ | 1797842320963403776 |
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| author | Xiaomeng Wang Xue Wang Xinzhu Guan Yun Xu Kangwei Xu Qiang Gao Rong Cai Yongli Cai |
| author_facet | Xiaomeng Wang Xue Wang Xinzhu Guan Yun Xu Kangwei Xu Qiang Gao Rong Cai Yongli Cai |
| author_sort | Xiaomeng Wang |
| collection | DOAJ |
| description | In this paper, we investigate the effects of ambient air pollution (AAP) on the spread of influenza in an AAP-dependent dynamic influenza model. The value of this study lies in two aspects. Mathematically, we establish the threshold dynamics in the term of the basic reproduction number $ \mathcal{R}_0 $: If $ \mathcal{R}_0 < 1 $, the disease will go to extinction, while if $ \mathcal{R}_0 > 1 $, the disease will persist. Epidemiologically, based on the statistical data in Huaian, China, we find that, in order to control the prevalence of influenza, we must increase the vaccination rate, the recovery rate and the depletion rate, and decrease the rate of the vaccine wearing off, the uptake coefficient, the effect coefficient of AAP on transmission rate and the baseline rate. To put it simply, we must change our traveling plan and stay at home to reduce the contact rate or increase the close-contact distance and wear protective masks to reduce the influence of the AAP on the influenza transmission. |
| first_indexed | 2024-04-09T16:45:59Z |
| format | Article |
| id | doaj.art-93df1b1ba1404b338df478f7d9324f60 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-04-09T16:45:59Z |
| publishDate | 2023-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-93df1b1ba1404b338df478f7d9324f602023-04-23T01:19:08ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-03-01206102841030310.3934/mbe.2023451The impact of ambient air pollution on an influenza model with partial immunity and vaccinationXiaomeng Wang 0Xue Wang1Xinzhu Guan2Yun Xu3Kangwei Xu 4Qiang Gao5Rong Cai 6Yongli Cai 71. School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China1. School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China1. School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China1. School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China1. School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, China2. Department of Acute Infectious Disease Control and Prevention, Huaian Center for Disease Control and Prevention, Huaian 223003, China3. Department of Disinfection and Vector Borne Disease Control, Huaian Center for Disease Control and Prevention, Huaian 223003, China1. School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, ChinaIn this paper, we investigate the effects of ambient air pollution (AAP) on the spread of influenza in an AAP-dependent dynamic influenza model. The value of this study lies in two aspects. Mathematically, we establish the threshold dynamics in the term of the basic reproduction number $ \mathcal{R}_0 $: If $ \mathcal{R}_0 < 1 $, the disease will go to extinction, while if $ \mathcal{R}_0 > 1 $, the disease will persist. Epidemiologically, based on the statistical data in Huaian, China, we find that, in order to control the prevalence of influenza, we must increase the vaccination rate, the recovery rate and the depletion rate, and decrease the rate of the vaccine wearing off, the uptake coefficient, the effect coefficient of AAP on transmission rate and the baseline rate. To put it simply, we must change our traveling plan and stay at home to reduce the contact rate or increase the close-contact distance and wear protective masks to reduce the influence of the AAP on the influenza transmission. https://www.aimspress.com/article/doi/10.3934/mbe.2023451?viewType=HTMLambient air pollutioninfluenza modelpartial immunityvaccinationbasic reproduction numbercontrol |
| spellingShingle | Xiaomeng Wang Xue Wang Xinzhu Guan Yun Xu Kangwei Xu Qiang Gao Rong Cai Yongli Cai The impact of ambient air pollution on an influenza model with partial immunity and vaccination Mathematical Biosciences and Engineering ambient air pollution influenza model partial immunity vaccination basic reproduction number control |
| title | The impact of ambient air pollution on an influenza model with partial immunity and vaccination |
| title_full | The impact of ambient air pollution on an influenza model with partial immunity and vaccination |
| title_fullStr | The impact of ambient air pollution on an influenza model with partial immunity and vaccination |
| title_full_unstemmed | The impact of ambient air pollution on an influenza model with partial immunity and vaccination |
| title_short | The impact of ambient air pollution on an influenza model with partial immunity and vaccination |
| title_sort | impact of ambient air pollution on an influenza model with partial immunity and vaccination |
| topic | ambient air pollution influenza model partial immunity vaccination basic reproduction number control |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2023451?viewType=HTML |
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