Threshold dynamics of a stochastic mathematical model for Wolbachia infections
A stochastic mathematical model is proposed to study how environmental heterogeneity and the augmentation of mosquitoes with [Formula: see text] bacteria affect the outcomes of dengue disease. The existence and uniqueness of the positive solutions of the system are studied. Then the V-geometrically...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2023-12-01
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| Series: | Journal of Biological Dynamics |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/17513758.2023.2231967 |
| _version_ | 1827362850644951040 |
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| author | Jin Yang Zhuo Chen Yuanshun Tan Zijian Liu Robert A. Cheke |
| author_facet | Jin Yang Zhuo Chen Yuanshun Tan Zijian Liu Robert A. Cheke |
| author_sort | Jin Yang |
| collection | DOAJ |
| description | A stochastic mathematical model is proposed to study how environmental heterogeneity and the augmentation of mosquitoes with [Formula: see text] bacteria affect the outcomes of dengue disease. The existence and uniqueness of the positive solutions of the system are studied. Then the V-geometrically ergodicity and stochastic ultimate boundedness are investigated. Further, threshold conditions for successful population replacement are derived and the existence of a unique ergodic steady-state distribution of the system is explored. The results show that the ratio of infected to uninfected mosquitoes has a great influence on population replacement. Moreover, environmental noise plays a significant role in control of dengue fever. |
| first_indexed | 2024-03-08T07:36:28Z |
| format | Article |
| id | doaj.art-b26074f54e284df79690508dc611a153 |
| institution | Directory Open Access Journal |
| issn | 1751-3758 1751-3766 |
| language | English |
| last_indexed | 2024-03-08T07:36:28Z |
| publishDate | 2023-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | Journal of Biological Dynamics |
| spelling | doaj.art-b26074f54e284df79690508dc611a1532024-02-02T18:51:34ZengTaylor & Francis GroupJournal of Biological Dynamics1751-37581751-37662023-12-0117110.1080/17513758.2023.2231967Threshold dynamics of a stochastic mathematical model for Wolbachia infectionsJin Yang0Zhuo Chen1Yuanshun Tan2Zijian Liu3Robert A. Cheke4Department of Mathematics, Chongqing Jiaotong University, Chongqing, People's Republic of ChinaDepartment of Mathematics, Chongqing Jiaotong University, Chongqing, People's Republic of ChinaDepartment of Mathematics, Chongqing Jiaotong University, Chongqing, People's Republic of ChinaDepartment of Mathematics, Chongqing Jiaotong University, Chongqing, People's Republic of ChinaNatural Resources Institute, University of Greenwich at Medway, Chatham, UKA stochastic mathematical model is proposed to study how environmental heterogeneity and the augmentation of mosquitoes with [Formula: see text] bacteria affect the outcomes of dengue disease. The existence and uniqueness of the positive solutions of the system are studied. Then the V-geometrically ergodicity and stochastic ultimate boundedness are investigated. Further, threshold conditions for successful population replacement are derived and the existence of a unique ergodic steady-state distribution of the system is explored. The results show that the ratio of infected to uninfected mosquitoes has a great influence on population replacement. Moreover, environmental noise plays a significant role in control of dengue fever.https://www.tandfonline.com/doi/10.1080/17513758.2023.2231967Dengue feverpopulation replacementergodicityLyapunov function |
| spellingShingle | Jin Yang Zhuo Chen Yuanshun Tan Zijian Liu Robert A. Cheke Threshold dynamics of a stochastic mathematical model for Wolbachia infections Journal of Biological Dynamics Dengue fever population replacement ergodicity Lyapunov function |
| title | Threshold dynamics of a stochastic mathematical model for Wolbachia infections |
| title_full | Threshold dynamics of a stochastic mathematical model for Wolbachia infections |
| title_fullStr | Threshold dynamics of a stochastic mathematical model for Wolbachia infections |
| title_full_unstemmed | Threshold dynamics of a stochastic mathematical model for Wolbachia infections |
| title_short | Threshold dynamics of a stochastic mathematical model for Wolbachia infections |
| title_sort | threshold dynamics of a stochastic mathematical model for wolbachia infections |
| topic | Dengue fever population replacement ergodicity Lyapunov function |
| url | https://www.tandfonline.com/doi/10.1080/17513758.2023.2231967 |
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