| Abstract: |
| In this talk, we investige a time-delayed reaction-di usion epidemic model with stage struc-
ture and spatial heterogeneity, which describes the dynamics of
disease spread only proceeding in the adult population. We establish the ba-
sic reproduction number for the model system, which gives the threshold
dynamics. Furthermore, it is shown that there is at least one positive steady state when the basic reproduction number is large than unity. Finally, in terms of general
birth function for adult individuals, through introducing two numbers, we establish suffcient conditions for the persistence and global extinction of the disease, respectively. |
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