| Abstract: |
| In this talk, we will propose a multipatch epidemic model to study how the difference in travel frequency affects disease spread. The basic reproduction number $R_0$ is derived which completely governs the global dynamics of the model system. Lower and upper bounds of the reproduction numbers are given and the disease can become endemic or extinct even though it dies out or persist in each isolated patch. Both analytical and numerical approaches show that the model without distinguishing the difference in travel frequency tends to underestimate the risk of infection. Numerical examples are presented to illustrate the impact of changes in modern travel on disease spread. |
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