| dc.contributor.advisor | Rundell, William | |
| dc.creator | Collins, Charles R. | |
| dc.date.accessioned | 2022-06-30T15:46:49Z | |
| dc.date.available | 2022-06-30T15:46:49Z | |
| dc.date.issued | 1984 | |
| dc.identifier.uri | https://hdl.handle.net/1969.1/CAPSTONE-CollinsC_1984 | |
| dc.description | Program year: 1983-1984 | en |
| dc.description | Digitized from print original stored in HDR | en |
| dc.description.abstract | This paper considers models of physical phenomena, in particular models from population dynamics. The main model of concern is a combination of two previously developed models: the model of non-linear age dependent population and the classic Lotka-Volterra model of interacting predator and prey populations. It is shown that this model has a unique solution for all time, and this solution is bounded for finite time. A particular case is studied by computer simulation, and the results show that indiscriminate eating leads to a stable periodic relation between the predator and the prey, while selective eating leads to nonstable behavior. It is suggested that age-selective predation can be a stabilizing agent in a predator-prey scheme. | en |
| dc.format.extent | 43 pages | en |
| dc.format.medium | electronic | en |
| dc.format.mimetype | application/pdf | |
| dc.subject | population dynamics | en |
| dc.subject | predator and prey interaction | en |
| dc.subject | age dependent population | en |
| dc.subject | eating behavior | en |
| dc.subject | predation | en |
| dc.subject | stabilizing agents | en |
| dc.title | Mathematical Model of Predator-Prey System with Age Structure | en |
| dc.type | Thesis | en |
| thesis.degree.department | Mathematics | en |
| thesis.degree.grantor | University Undergraduate Fellows | en |
| thesis.degree.level | Undergraduate | en |
| dc.type.material | text | en |
