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Global Stability Analysis of a General Scalar Difference Equation

Show simple item record Merdan, Hüseyin Gumus, Ozlem Ak Karahisarli, Gamzegul 2019-12-25T14:34:15Z 2019-12-25T14:34:15Z 2018
dc.identifier.citation Merdan, H., GUMUS, O. A., & AYDIN, G. GLOBAL STABILITY ANALYSIS OF A GENERAL SCALAR DIFFERENCE EQUATION. In International Conference on Pure and Applied Mathematics (p. 160). en_US
dc.identifier.issn 2164-6376
dc.description.abstract We consider a general ?rst-order scalar difference equation with and without Allee effect. The model without Allee effect represents asexual reproduction of a species while the model including Allee effect represents sexual reproduction. We analyze global stabilities of both models analytically and compare the results obtained. Numerical simulations are included to support the analytical results. We conclude that Allee effect has a destabilizing effect on the global stability of the model. This result is different fromthe local stability behaviour of the same ?xed point of the model. en_US
dc.language.iso eng en_US
dc.publisher L and H Scientific Publishing, LLC en_US
dc.rights info:eu-repo/semantics/closedAccess
dc.subject Allee effect en_US
dc.subject Difference equation en_US
dc.subject Dynamical sytems en_US
dc.subject Global stability en_US
dc.title Global Stability Analysis of a General Scalar Difference Equation en_US
dc.type article en_US
dc.relation.journal Discontinuity, Nonlinearity, and Complexity en_US
dc.contributor.department TOBB ETU, Faculty of Science and Literature, Depertment of Mathematics en_US
dc.contributor.department TOBB ETÜ, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR
dc.identifier.volume 7
dc.identifier.issue 3
dc.identifier.startpage 225
dc.identifier.endpage 232
dc.identifier.scopus 2-s2.0-85053721016
dc.contributor.tobbetuauthor Merdan, Hüseyin
dc.contributor.YOKid 125872
dc.identifier.doi 10.5890/DNC.2018.09.001
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı tr_TR

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