A nonlinear and nonlocal model for animal aggregation
| dc.contributor.advisor | van Veen, Lennaert | |
| dc.contributor.advisor | Buono, Luciano | |
| dc.contributor.author | Qi, Yuelin | |
| dc.date.accessioned | 2022-09-26T15:03:39Z | |
| dc.date.available | 2022-09-26T15:03:39Z | |
| dc.date.issued | 2022-09-01 | |
| dc.degree.discipline | Modelling and Computational Science | |
| dc.degree.level | Master of Science (MSc) | |
| dc.description.abstract | An aggregation model is a kind of model used to show the dynamics of the distribution of the population of organisms. Mathematically, we can use a partial differential equation to model the density of an organism at different times and locations. In this paper, we are going to look at a 2+1-dimensional nonlinear and nonlocal aggregation model proposed by Fetecau [8] with an adaptation of a saturation function to the nonlinear term. The nonlinear term represents the interaction between an individual and its neighbours. The saturation function can suppress or amplify the interaction at a low or high level depending on the values of some parameters in the saturation function. We will explore the behaviour of the model with different saturation functions applied. | en |
| dc.description.sponsorship | University of Ontario Institute of Technology | en |
| dc.identifier.uri | https://hdl.handle.net/10155/1532 | |
| dc.language.iso | en | en |
| dc.subject | Aggregation model | en |
| dc.subject | Saturation function | en |
| dc.subject | Partial differential equation | en |
| dc.title | A nonlinear and nonlocal model for animal aggregation | en |
| dc.type | Thesis | en |
| thesis.degree.discipline | Modelling and Computational Science | |
| thesis.degree.grantor | University of Ontario Institute of Technology | |
| thesis.degree.name | Master of Science (MSc) |