Please use this identifier to cite or link to this item: http://repository.aaup.edu/jspui/handle/123456789/1386
Title: The effect of spatial variables on the basic reproduction ratio for a reaction-diffusion epidemic model
Authors: Yang, Tianhui$Other$Other
Qarariyah, Ammar$AAUP$Palestinian
Yang, Qigui$Other$Other
Keywords: basic reproduction ratio
reaction-diffusion equation
spatial heterogeneity
epidemic model
Issue Date: 1-May-2021
Publisher: American Institute of Mathematical Sciences
Abstract: In this paper, we study the influence of spatial-dependent variables on the basic reproduction ratio (R0) 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 R0 in two dimensions.
URI: http://repository.aaup.edu/jspui/handle/123456789/1386
Appears in Collections:Faculty & Staff Scientific Research publications

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