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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 Fr<jats:italic>\u00e9<\/jats:italic>chet 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\u2019s spread can be achieved by implementing measures to reduce the transmission of the virus through infected humans and mosquitoes.<\/jats:p>","DOI":"10.1038\/s41598-023-42440-3","type":"journal-article","created":{"date-parts":[[2023,9,14]],"date-time":"2023-09-14T15:02:09Z","timestamp":1694703729000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Dynamics analysis of a nonlocal diffusion dengue model"],"prefix":"10.1038","volume":"13","author":[{"given":"Kangkang","family":"Chang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhenyu","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guizhen","family":"Liang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,9,14]]},"reference":[{"key":"42440_CR1","doi-asserted-by":"publisher","first-page":"250","DOI":"10.1016\/j.matcom.2022.06.026","volume":"203","author":"X Li","year":"2023","unstructured":"Li, X., Wang, Y. & Liu, L. 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