The effect of spatial variables on the basic reproduction ratio for a reaction-diffusion epidemic model

Autor:	Tianhui$Other$Other Yang, Qigui$Other$Other Yang, Ammar Qarariyah
Rok vydání:	2022
Předmět:	Spatial variable Pure mathematics Basic Reproduction Ratio Spatial model Applied Mathematics Reaction–diffusion system Dimension (graph theory) Scalar (mathematics) Discrete Mathematics and Combinatorics Epidemic model Eigenvalues and eigenvectors Mathematics
Zdroj:	Discrete and Continuous Dynamical Systems - B. 27:3005
ISSN:	1553-524X 1531-3492
Popis:	In this paper, we study the influence of spatial-dependent variables on the basic reproduction ratio (\begin{document}$ \mathcal{R}_0 $\end{document}) for a scalar reaction-diffusion equation model. We first investigate the principal eigenvalue of a weighted eigenvalue problem and show the influence of spatial variables. We then apply these results to study the effect of spatial heterogeneity and dimension on the basic reproduction ratio for a spatial model of rabies. Numerical simulations also reveal the complicated effects of the spatial variables on \begin{document}$ \mathcal{R}_0 $\end{document} in two dimensions.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::37916592188ea6f82cd73b77ba1c29cd https://doi.org/10.3934/dcdsb.2021170 Zobrazit plný text záznamu