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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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