Graduation Year
2016
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Jon Jacobsen
Reader 2
Rachel Levy
Terms of Use & License Information
Rights Information
2016 Kennedy D Agwamba
Abstract
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 tools that facilitate numerical explorations for a number of associated integrodifference equations, allowing modelers to explore results using a selection of models under a robust parameter set.
Recommended Citation
Agwamba, Kennedy, "An Interactive Tool for the Computational Exploration of Integrodifference Population Models" (2016). HMC Senior Theses. 70.
https://scholarship.claremont.edu/hmc_theses/70