A nonlinear and nonlocal model for animal aggregation

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.

Name thesis:degree_name

Master of Science (MSc)

Discipline thesis:degree_discipline

Modelling and Computational Science

Grantor

University of Ontario Institute of Technology

Year dc:date.issued

2022

Author dc:creator

• Qi, Yuelin

Advisors dc:contributor.advisor

• van Veen, Lennaert
• Buono, Luciano

• Aggregation model
• Saturation function
• Partial differential equation

Language dc:language.iso

en

Handle dc:identifier.uri

https://hdl.handle.net/10155/1532

OAI identifier oai:identifier

oai:ontariotechu.scholaris.ca:10155/1532