Mathematics, Department of
Department of Mathematics: Faculty Publications
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Document Type
Article
Date of this Version
7-19-2023
Citation
MBE, 20(8): 15201–15218. DOI: 10.3934/mbe.2023680
Abstract
We consider a class of k-dimensional reaction-di usion epidemic models (k = 1; 2; • • • ) that are developed from autonomous ODE systems. We present a computational approach for the calculation and analysis of their basic reproduction numbers. Particularly, we apply matrix theory to study the relationship between the basic reproduction numbers of the PDE models and those of their underlying ODE models. We show that the basic reproduction numbers are the same for these PDE models and their associated ODE models in several important scenarios. We additionally provide two numerical examples to verify our analytical results.
Comments
Open access.