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DTSTART;TZID=America/New_York:20210304T104000
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UID:1440-1614854400-1614857400@biomath.math.ufl.edu
SUMMARY:Nicholas Kortessis (UF Biology)
DESCRIPTION:Understanding the effects of habitat loss on population persistence\nHabitat loss is the dominant threat to biodiversity worldwide. Habitat loss comes in the form of land conversion\, where suitable habitat is changed into unsuitable space for vital life functions. The resulting landscape is a patchwork of disjoint habitat patches\, varying in quality and connectedness with nearby patches. A major unknown is how much habitat loss species can tolerate before they are at risk of extinction\, and whether the spatial distribution of remaining habitat matters. I will present a model of population dynamics in a network of connected subpopulations. To analyze the model\, I will present framework for understanding the effects of habitat loss on species persistence that focuses on three factors: (1) the distribution of sizes of habitat patches\, (2) the effects of converted habitat on local growth in remaining habitat patches\, and (3) connectivity of the landscape. I’ll illustrate the value of the framework using numerical techniques in some simple landscapes and also in randomly constructed landscapes.
URL:https://biomath.math.ufl.edu/event/nicholas-kortessis-uf-biology/
LOCATION:Zoom
CATEGORIES:Spring 2021
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DTSTART;TZID=America/New_York:20210318T104000
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UID:1448-1616064000-1616067000@biomath.math.ufl.edu
SUMMARY:Jason Flynn (UF Mathematics)
DESCRIPTION:To reset\, or not to reset\, that is the question\nThe first passage statistics of stochastic processes play an important role in understanding the behavior of some useful models in physical chemistry\, biology\, finance\, computer science and other fields. Allowing the underlying stochastic process to restart or reset to its initial condition at certain intervals can dramatically change these first passage statistics. In this discussion\, we will review some results for continuous-time stochastic processes\, and then examine some of the effects of resetting on discrete-time processes\, paying special attention to two important reset time distributions: geometric and sharp (deterministic). In particular\, we will consider the circumstances under which resetting can increase or reduce the mean hitting time of a process
URL:https://biomath.math.ufl.edu/event/jason-flynn-uf-mathematics/
LOCATION:Zoom
CATEGORIES:Spring 2021
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