| Abstract: |
| Migrations have been a feature of human life since the dawn of humankind. Usually, they are due to external factors such as environmental changes, natural disasters, economic challenges, or wars. They are instrumental in spreading conditions such as epidemic status, prevalent in particular subpopulations, to the global level. Thus, migration models should be coupled with other processes affecting them. In this talk, we focus on metapopulation models coupling infections with migrations and consider cases when migrations occur either at a much lower or much faster rate than the other processes, leading to, respectively, regularly or singularly perturbed systems of differential equations. Using recent results on uniform-in-time asymptotics, we show how to reduce such models to simpler ones without losing salient features of the original dynamics. |
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