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Physical Sciences and Mathematics Commons

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Applied Mathematics

HMC Senior Theses

2016

Persistence

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Full-Text Articles in Physical Sciences and Mathematics

An Interactive Tool For The Computational Exploration Of Integrodifference Population Models, Kennedy Agwamba Jan 2016

An Interactive Tool For The Computational Exploration Of Integrodifference Population Models, Kennedy Agwamba

HMC Senior Theses

Mathematical modeling of population dynamics can provide novel insight to the growth and dispersal patterns for a variety of species populations, and has become vital to the preservation of biodiversity on a global-scale. These growth and dispersal stages can be modeled using integrodifference equations that are discrete in time and continuous in space. Previous studies have identified metrics that can determine whether a given species will persist or go extinct under certain model parameters. However, a need for computational tools to compute these metrics has limited the scope and analysis within many of these studies. We aim to create computational …