BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Integrodifference equation models for populations in dynamic habitats Zhou, Ying


Dynamic changes in habitat sizes and locations have important consequences for their residents. In this talk, I will present two integrodifference equation models. The first model describes the dynamics of a population whose habitat shifts under climate warming. The second model describes a population whose habitat expands and contracts seasonally. For both models, I will show that the persistence metric for compact integral operators on a bounded domain extends to that of an unbounded domain. I will then present the ecological insight gained from the mathematical analysis. For the first model, I will demonstrate that the population will lag behind the shifting habitat and carry a â climatic debtâ , especially when the climate warming is accelerating. For the second model, I will explain how the concept of critical habitat size is extended to that of a "lower minimal limit size" in a two-season scenario. 

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