Document Type
Article
Peer Reviewed
1
Publication Date
3-2014
Scholarship Domain(s)
Scholarship of Discovery
Abstract
Leslie matrices have been used for years to model and predict the growth of animal populations. Recently, general rules have been applied that can relatively easily determine whether an animal population will grow or decline. My mentor, Dr. Justin Brown and I examine, more specifically, whether there are relationships between certain elements of a population and the dominant eigenvalue, which determines growth. Not only do we consider the general 3x3 Leslie matrix, but also we looked into modified versions for incomplete data and migration models of Leslie matrices. We successfully found several connections within these cases; however, there is much more research that could be done.
Recommended Citation
Riley, Lorisha Lynn, "Relationships between Elements of Leslie Matrices and Future Growth of the Population" (2014). Honors Program Projects. 60.
https://digitalcommons.olivet.edu/honr_proj/60
Included in
Applied Mathematics Commons, Biostatistics Commons, Human Geography Commons, Population Biology Commons, Probability Commons, Statistical Models Commons
Comments
Honors Capstone Project completed in 2014 for Olivet Nazarene University.