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

Autor: Kangkang Chang, Zhenyu Zhang, Guizhen Liang
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: AIMS Mathematics, Vol 8, Iss 6, Pp 14253-14269 (2023)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2023729?viewType=HTML
Popis: 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.
Databáze: Directory of Open Access Journals