ATTENTION: The works hosted here are being migrated to a new repository that will consolidate resources, improve discoverability, and better show UTA's research impact on the global community. We will update authors as the migration progresses. Please see MavMatrix for more information.
Show simple item record
dc.contributor.author | Dong, Xiaoyang | en_US |
dc.date.accessioned | 2013-10-23T00:00:22Z | |
dc.date.available | 2013-10-23T00:00:22Z | |
dc.date.issued | 2013-10-23 | |
dc.date.submitted | January 2013 | en_US |
dc.identifier.other | DISS-12306 | en_US |
dc.identifier.uri | http://hdl.handle.net/10106/23949 | |
dc.description.abstract | We discuss several gradostat models in which a microbial population excretes a biochemical that can get recycled back into the system as a nutrient source. Each mathematical model consists of six ordinary differential equations and represents the dynamics of harmful algal blooms in lakes with fringing coves. We examine three different situations of biochemical production which is based on the algal growth rate, mortality, and nutrient concentration, respectively. Local and global stability analysis of the equilibria predicts that algal abundance and biochemical concentration can be both washed out or persistent under different environmental conditions. All theoretical results are supported by a set of numerical simulations. | en_US |
dc.description.sponsorship | Kojouharov, Hristo | en_US |
dc.language.iso | en | en_US |
dc.publisher | Mathematics | en_US |
dc.title | Mathematical Models Of Nutrient Recycling And Toxin Production In A Gradostat | en_US |
dc.type | Ph.D. | en_US |
dc.contributor.committeeChair | Kojouharov, Hristo | en_US |
dc.degree.department | Mathematics | en_US |
dc.degree.discipline | Mathematics | en_US |
dc.degree.grantor | University of Texas at Arlington | en_US |
dc.degree.level | doctoral | en_US |
dc.degree.name | Ph.D. | en_US |
Files in this item
- Name:
- Dong_uta_2502D_12306.pdf
- Size:
- 973.8Kb
- Format:
- PDF
This item appears in the following Collection(s)
Show simple item record