Files in this item
| Files | Description | Format |
|---|---|---|
|
application/pdf  GALIARDI-DISSERTATION-2016.pdf (6MB) | (no description provided) |
Description
| Title: | Mathematical models in evolutionary dynamics |
| Author(s): | Galiardi, Meghan Anne |
| Director of Research: | DeVille, Lee |
| Doctoral Committee Chair(s): | Rapti, Zoi |
| Doctoral Committee Member(s): | Zharnitsky, Vadim; Song, Renming |
| Department / Program: | Mathematics |
| Discipline: | Mathematics |
| Degree Granting Institution: | University of Illinois at Urbana-Champaign |
| Degree: | Ph.D. |
| Genre: | Dissertation |
| Subject(s): | evolutionary dynamics
iterated Prisoner's dilemma competitive exclusion Markov process stochastic process mean-field limit switching times |
| Abstract: | We consider two mathematical models in evolutionary dynamics. The first model is an extension of an evolutionary game theory model proposed by Martin Nowak. We consider both a mean field deterministic approach and a weak noise stochastic approach, but the focus is on latter which is an uncommon approach for this type of model. The second model is an extension of a competitive exclusion model studied by DeVille et. al. We again consider both a mean field deterministic approach and a weak noise stochastic approach, this time with the focus on the former where we are able to prove numerous global stability results. |
| Issue Date: | 2016-04-14 |
| Type: | Thesis |
| URI: | http://hdl.handle.net/2142/90535 |
| Rights Information: | Copyright 2016 by Meghan Galiardi. All rights reserved. |
| Date Available in IDEALS: | 2016-07-07 |
| Date Deposited: | 2016-05 |
This item appears in the following Collection(s)
-
Graduate Dissertations and Theses at Illinois
Graduate Theses and Dissertations at Illinois