| Abstract: |
| We study the basic reproduction numbers for
a class of reaction-convection-diffusion epidemic models
that are developed from autonomous ODE systems.
We present a general numerical framework to compute such
basic reproduction numbers; meanwhile, the numerical
formulation provides useful insight into their characterizations.
Using matrix analysis, we show that the
basic reproduction numbers are the same for these PDE models and their
associated ODE models in several important cases that include zero convection,
uniform convection and diffusion, and partial convection and diffusion. |
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