| Abstract: |
| In this talk, I will report the threshold dynamics of two class of diffusive epidemic models with heterogeneity parameters. One is diffusive ZIKV epidemic model, and another is diffusive SIRI epidemic model. Our analyses show that the basic reproduction number which serves as a threshold parameter that predicts whether epidemics will persist or become globally extinct. For the latter, the asymptotic profiles of the positive steady state are also discussed. |
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