| Abstract: |
| In this talk, I will discuss a one-dimensional model for biological invasions in heterogeneous patchy landscapes. Each patch has a relatively well-defined structure which is considered as homogeneous, but coupling interface conditions are imposed between adjacent patches, incorporating patch preference data. In the case of two patches, I will mention various results on spreading, blocking, or virtual blocking phenomena when the per capita growth rates in the patches are maximal or on the contrary negative at low densities. I will also report on some propagation or extinction phenomena in the case of periodic patches involving bistable or monostable reactions. The talk is based on some joint works with Quentin Griette, Frithjof Lutscher, Mingmin Zhang and Min Zhao. |
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