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- W4386744206 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." @default.
- W4386744206 created "2023-09-15" @default.
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- W4386744206 date "2023-09-14" @default.
- W4386744206 modified "2023-09-30" @default.
- W4386744206 title "Dynamics analysis of a nonlocal diffusion dengue model" @default.
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- W4386744206 doi "https://doi.org/10.1038/s41598-023-42440-3" @default.
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