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dc.contributor.authorParshad, Rana
dc.contributor.authorAit Abderrahmane, Hamid
dc.contributor.authorUpadhyay, Ranjit Kumar
dc.contributor.authorKumari, Nitu
dc.date.accessioned2015-04-27T16:17:38Z
dc.date.available2015-04-27T16:17:38Z
dc.date.issued2013-05-19
dc.identifier.citationFinite Time Blowup in a Realistic Food-Chain Model 2013, 2013:1 ISRN Biomathematics
dc.identifier.issn2090-7702
dc.identifier.doi10.1155/2013/424062
dc.identifier.urihttp://hdl.handle.net/10754/550710
dc.description.abstractWe investigate a realistic three-species food-chain model, with generalist top predator. The model based on a modified version of the Leslie-Gower scheme incorporates mutual interference in all the three populations and generalizes several other known models in the ecological literature. We show that the model exhibits finite time blowup in certain parameter range and for large enough initial data. This result implies that finite time blowup is possible in a large class of such three-species food-chain models. We propose a modification to the model and prove that the modified model has globally existing classical solutions, as well as a global attractor. We reconstruct the attractor using nonlinear time series analysis and show that it pssesses rich dynamics, including chaos in certain parameter regime, whilst avoiding blowup in any parameter regime. We also provide estimates on its fractal dimension as well as provide numerical simulations to visualise the spatiotemporal chaos.
dc.publisherHindawi Publishing Corporation
dc.relation.urlhttp://www.hindawi.com/journals/isrn.biomathematics/2013/424062/
dc.rightsThis is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
dc.titleFinite Time Blowup in a Realistic Food-Chain Model
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.identifier.journalISRN Biomathematics
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionDepartment of Mathematics and Computer Science, Clarkson University, Potsdam, NY 13699, USA
dc.contributor.institutionDepartment of Applied Mathematics, Indian School of Mines, Dhanbad, Jharkhand 826004, India
dc.contributor.institutionSchool of Basic Sciences, Indian Institute of Technology Mandi, Mandi, Himachal Pradesh 175 001, India
kaust.personParshad, Rana
kaust.personAit Abderrahmane, Hamid
refterms.dateFOA2018-06-13T17:26:24Z


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