{"id":{"repo_id":"uoit","oai_identifier":"oai:ontariotechu.scholaris.ca:10155/1532"},"canonical_url":"https://search.dev.ndltd.org/etd/uoit/oai:ontariotechu.scholaris.ca:10155/1532","repository":{"repo_id":"uoit","name":"Ontario Institute of Technology","base_url":"https://ontariotechu.scholaris.ca/server/oai/request"},"display":{"title":"A nonlinear and nonlocal model for animal aggregation","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.","abstract_html":"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.","abstract_has_math":false,"creators":["Qi, Yuelin"],"institution":"University of Ontario Institute of Technology","degree_name":"Master of Science (MSc)","degree_level":null,"degree_discipline":"Modelling and Computational Science","degree_department":null,"school":null,"contributors":[],"advisors":["van Veen, Lennaert","Buono, Luciano"],"committee_chairs":[],"committee_members":[],"year":2022,"date_issued":"2022-09-01","date_published":"2022-09-01","updated_at":"2026-07-24T05:35:28Z","subjects":["Aggregation model","Saturation function","Partial differential equation"],"languages":["en"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://hdl.handle.net/10155/1532","outbound_label":"Handle","outbound_source":"dc:identifier.uri"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor.advisor","label":"Advisor","values":["van Veen, Lennaert","Buono, Luciano"]},{"key":"dc:creator","label":"Author","values":["Qi, Yuelin"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.accessioned","label":"Dc Date Accessioned","values":["2022-09-26T15:03:39Z"]},{"key":"dc:date.available","label":"Dc Date Available","values":["2022-09-26T15:03:39Z"]},{"key":"dc:date.issued","label":"Date","values":["2022-09-01"]},{"key":"dc:type","label":"Dc Type","values":["Thesis"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Modelling and Computational Science"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Master of Science (MSc)"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["University of Ontario Institute of Technology"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Aggregation model","Saturation function","Partial differential equation"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language.iso","label":"Language (ISO)","values":["en"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier.uri","label":"Identifier URI","values":["https://hdl.handle.net/10155/1532"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["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."]},{"key":"dc:title","label":"Title","values":["A nonlinear and nonlocal model for animal aggregation"]}]}],"canonical_facts":{"dc:contributor.advisor":["van Veen, Lennaert","Buono, Luciano"],"dc:creator":["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: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."],"dc:identifier.uri":["https://hdl.handle.net/10155/1532"],"dc:language.iso":["en"],"dc:subject":["Aggregation model","Saturation function","Partial differential equation"],"dc:title":["A nonlinear and nonlocal model for animal aggregation"],"dc:type":["Thesis"],"thesis:degree_discipline":["Modelling and Computational Science"],"thesis:degree_name":["Master of Science (MSc)"],"thesis:institution_name":["University of Ontario Institute of Technology"]},"updated_at":"2026-07-24T05:35:28Z"}