| Abstract: |
| In this talk, I will report our recent research on a time-delayed nonlocal reaction-diffusion model of within-host viral infections. We introduce the basic reproduction number R0 and show that the infection-free steady state is globally asymptotically stable when R0 is less than or equals one, while the disease is uniformly persistent when R0 is greater than one. In the case where all coefficients and reaction terms are spatially homogeneous, we obtain an explicit formula of R0 and the global attractivity of the positive constant steady state. Numerically, we illustrate the analytical results and investigate the impact of drugs on curtailing the spread of the virus. |
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