Mimar Sinan Fine Arts University Institutional Repository

DSpace@MSGSÜ digitally stores academic resources such as books, articles, dissertations, bulletins, reports, research data published directly or indirectly by Mimar Sinan Fine Arts University in international standarts, helps track the academic performance of the university, provides long term preservation for resources and makes publications available to Open Access in accordance with their copyright to increase the effect of publications.

Search MSGSÜ

Show simple item record

Deterministic and Stochastic Research of Cubic Population Model with Harvesting

dc.contributor.authorGultekin, Ozgur
dc.contributor.authorEskin, Cagatay
dc.contributor.authorYazicioglu, Esra
dc.date.accessioned2025-01-09T20:07:55Z
dc.date.available2025-01-09T20:07:55Z
dc.date.issued2021
dc.identifier.issn0219-4775
dc.identifier.issn1793-6780
dc.identifier.urihttps://doi.org/10.1142/S0219477521500231
dc.identifier.urihttps://hdl.handle.net/20.500.14124/7841
dc.description.abstractA detailed examination of the effect of harvesting on a population has been carried out by extending the standard cubic deterministic model by considering a population under Allee effect with a quadratic function representing harvesting. Weak and strong Allee effect transitions, carrying capacity, and Allee threshold change according to harvesting are first discussed in the deterministic model. A Fokker-Planck equation has been obtained starting from a Langevin equation subject to correlated Gaussian white noise with zero mean, and an Approximate Fokker-Planck Equation has been obtained from a Langevin equation subject to correlated Gaussian colored noise with zero mean. This allowed to calculate the stationary probability distributions of populations, and thus to discuss the effects of linear and nonlinear (Holling type-II) harvesting for populations under Allee effect and subject to white and colored noises, respectively.en_US
dc.language.isoengen_US
dc.publisherWorld Scientific Publ Co Pte Ltden_US
dc.relation.ispartofFluctuation and Noise Lettersen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAllee effecten_US
dc.subjectFokker Planck equationen_US
dc.subjectharvestingen_US
dc.subjectpopulation modelen_US
dc.subjectGaussian white noiseen_US
dc.subjectGaussian colored noiseen_US
dc.titleDeterministic and Stochastic Research of Cubic Population Model with Harvestingen_US
dc.typearticleen_US
dc.authoridEskin, Cagatay/0000-0003-4505-0266
dc.authoridGultekin, Ozgur/0000-0002-9987-9347
dc.departmentMimar Sinan Güzel Sanatlar Üniversitesien_US
dc.identifier.doi10.1142/S0219477521500231
dc.identifier.volume20en_US
dc.identifier.issue3en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.wosqualityQ3
dc.identifier.wosWOS:000655528600008
dc.identifier.scopus2-s2.0-85099644028
dc.identifier.scopusqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.snmzKA_20250105


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record