Graduation Year
2013
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
Reader 1
Jon Jacobsen
Reader 2
Alfonso Castro
Terms of Use & License Information
Rights Information
© 2013 Taylor McAdam
Abstract
The population dynamics of species with separate growth and dispersal stages can be described by a discrete-time, continuous-space integrodifference equation relating the population density at one time step to an integral expression involving the density at the previous time step. Prior research on this model has assumed that the equation governing the population dynamics remains fixed over time, however real environments are constantly in flux. We show that for time-varying models, there is a value Λ that can be computed to determine a sufficient condition for population survival. We also develop a framework for analyzing persistence of a population for which growth and dispersal behavior alternate predictably throughout time. Finally, we consider a number of time-varying models that include randomness.
Recommended Citation
McAdam, Taylor J., "Analysis of Time-Dependent Integrodifference Population Models" (2013). HMC Senior Theses. 44.
https://scholarship.claremont.edu/hmc_theses/44
