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Research Article | Open Access

Threshold dynamics of a nonlocal diffusion West Nile virus model with spatial heterogeneity

Kangkang Chang1( )Zhenyu Zhang2Guizhen Liang1
School of Mathematics and Statistics, Xinxiang University, Xinxiang 453003, China
Academy of Fine Arts, Xinxiang University, Xinxiang 453003, China
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Abstract

In this study, we investigated the threshold dynamics of a spatially heterogeneous nonlocal diffusion West Nile virus model. By employing semigroup theory and continuous Fréchet-differentiable, we established the well-posedness of the solution. The expression for the basic reproduction number derived using the next-generation matrix method. The authors demonstrated the threshold dynamics of the system by constructing a Lyapunov function and applying the comparison principle. Finally, numerical simulations were used to validate the theorem results. It can be suggested that to control disease development rapidly, measures should be taken to reduce the spread of mosquitoes and birds.

CLC number: 35B40, 37N25, 92B05

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AIMS Mathematics
Pages 14253-14269

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Cite this article:
Chang K, Zhang Z, Liang G. Threshold dynamics of a nonlocal diffusion West Nile virus model with spatial heterogeneity. AIMS Mathematics, 2023, 8(6): 14253-14269. https://doi.org/10.3934/math.2023729

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Received: 11 February 2023
Revised: 03 April 2023
Accepted: 06 April 2023
Published: 15 June 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)