Dynamics analysis of a nonlocal diffusion dengue model
Abstract Due to the unrestricted movement of humans over a wide area, it is important to understand how individuals move between non-adjacent locations in space. In this research, we introduce a nonlocal diffusion introduce for dengue, which is driven by integral operators. First, we use the semigro...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-09-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-023-42440-3 |
| _version_ | 1797560066715418624 |
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| author | Kangkang Chang Zhenyu Zhang Guizhen Liang |
| author_facet | Kangkang Chang Zhenyu Zhang Guizhen Liang |
| author_sort | Kangkang Chang |
| collection | DOAJ |
| description | Abstract Due to the unrestricted movement of humans over a wide area, it is important to understand how individuals move between non-adjacent locations in space. In this research, we introduce a nonlocal diffusion introduce for dengue, which is driven by integral operators. First, we use the semigroup theory and continuously Fréchet differentiable to demonstrate the existence, uniqueness, positivity and boundedness of the solution. Next, the global stability and uniform persistence of the system are proved by analyzing the eigenvalue problem of the nonlocal diffusion term. To achieve this, the Lyapunov function is derived and the comparison principle is applied. Finally, numerical simulations are carried out to validate the results of the theorem, and it is revealed that controlling the disease’s spread can be achieved by implementing measures to reduce the transmission of the virus through infected humans and mosquitoes. |
| first_indexed | 2024-03-10T17:54:09Z |
| format | Article |
| id | doaj.art-ba9789e2d75a4942bd0477e516c7d142 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-03-10T17:54:09Z |
| publishDate | 2023-09-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-ba9789e2d75a4942bd0477e516c7d1422023-11-20T09:16:12ZengNature PortfolioScientific Reports2045-23222023-09-0113111510.1038/s41598-023-42440-3Dynamics analysis of a nonlocal diffusion dengue modelKangkang Chang0Zhenyu Zhang1Guizhen Liang2School of Mathematics and Statistics, Xinxiang UniversityAcademy of Fine Arts, Xinxiang UniversitySchool of Mathematics and Statistics, Xinxiang UniversityAbstract Due to the unrestricted movement of humans over a wide area, it is important to understand how individuals move between non-adjacent locations in space. In this research, we introduce a nonlocal diffusion introduce for dengue, which is driven by integral operators. First, we use the semigroup theory and continuously Fréchet differentiable to demonstrate the existence, uniqueness, positivity and boundedness of the solution. Next, the global stability and uniform persistence of the system are proved by analyzing the eigenvalue problem of the nonlocal diffusion term. To achieve this, the Lyapunov function is derived and the comparison principle is applied. Finally, numerical simulations are carried out to validate the results of the theorem, and it is revealed that controlling the disease’s spread can be achieved by implementing measures to reduce the transmission of the virus through infected humans and mosquitoes.https://doi.org/10.1038/s41598-023-42440-3 |
| spellingShingle | Kangkang Chang Zhenyu Zhang Guizhen Liang Dynamics analysis of a nonlocal diffusion dengue model Scientific Reports |
| title | Dynamics analysis of a nonlocal diffusion dengue model |
| title_full | Dynamics analysis of a nonlocal diffusion dengue model |
| title_fullStr | Dynamics analysis of a nonlocal diffusion dengue model |
| title_full_unstemmed | Dynamics analysis of a nonlocal diffusion dengue model |
| title_short | Dynamics analysis of a nonlocal diffusion dengue model |
| title_sort | dynamics analysis of a nonlocal diffusion dengue model |
| url | https://doi.org/10.1038/s41598-023-42440-3 |
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