Comparison of Stochastic and Random Models for Bacterial Resistance

dc.contributor.author Merdan, Mehmet
dc.contributor.author Bekiryazıcı, Zafer
dc.contributor.author Kesemen, Tülay
dc.contributor.author Khaniyev, Tahir
dc.date.accessioned 2019-07-03T14:44:45Z
dc.date.available 2019-07-03T14:44:45Z
dc.date.issued 2017-05
dc.description.abstract In this study, a mathematical model of bacterial resistance considering the immune system response and antibiotic therapy is examined under random conditions. A random model consisting of random differential equations is obtained by using the existing deterministic model. Similarly, stochastic effect terms are added to the deterministic model to form a stochastic model consisting of stochastic differential equations. The results from the random and stochastic models are also compared with the results of the deterministic model to investigate the behavior of the model components under random conditions. en_US
dc.description.abstract [Merdan, Mehmet] Gumushane Univ, Dept Math Engn, Gumushane, Turkey; [Bekiryazici, Zafer] Recep Tayyip Erdogan Univ, Dept Math, TR-53100 Rize, Turkey; [Kesemen, Tulay] Karadeniz Tech Univ, Dept Math, Trabzon, Turkey; [Khaniyev, Tahir] TOBB Univ Econ & Technol, Dept Ind Engn, Ankara, Turkey en_US
dc.identifier.citation Merdan, M., Bekiryazici, Z., Kesemen, T., & Khaniyev, T. (2017). Comparison of stochastic and random models for bacterial resistance. Advances in Difference Equations, 2017(1), 133. en_US
dc.identifier.doi 10.1186/s13662-017-1191-5
dc.identifier.issn 1687-1847
dc.identifier.scopus 2-s2.0-85019099909
dc.identifier.uri https://doi.org/10.1186/s13662-017-1191-5
dc.identifier.uri https://hdl.handle.net/20.500.11851/1571
dc.language.iso en en_US
dc.publisher Springer International Publishing Ag en_US
dc.relation.ispartof Advances In Difference Equations en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.subject stochastic differential equation en_US
dc.subject random differential equation en_US
dc.subject Milstein scheme en_US
dc.subject Euler-Maruyama scheme en_US
dc.subject antibiotic resistance en_US
dc.title Comparison of Stochastic and Random Models for Bacterial Resistance en_US
dc.type Article en_US
dspace.entity.type Publication
gdc.author.id 0000-0003-1974-0140
gdc.author.institutional Hanalioğlu (Khaniyev), Tahir
gdc.author.scopusid 7801652544
gdc.bip.impulseclass C4
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gdc.description.department Faculties, Faculty of Engineering, Department of Industrial Engineering en_US
gdc.description.department Fakülteler, Mühendislik Fakültesi, Endüstri Mühendisliği Bölümü en_US
gdc.description.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
gdc.description.scopusquality N/A
gdc.description.volume 2017
gdc.description.wosquality Q1
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gdc.oaire.keywords antibiotic resistance
gdc.oaire.keywords Stochastic differential equation
gdc.oaire.keywords Antibiotic resistance
gdc.oaire.keywords stochastic differential equation
gdc.oaire.keywords random differential equation
gdc.oaire.keywords Euler-Maruyama scheme
gdc.oaire.keywords Random differential equation
gdc.oaire.keywords Milstein scheme
gdc.oaire.keywords QA1-939
gdc.oaire.keywords Mathematics
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gdc.oaire.sciencefields 0301 basic medicine
gdc.oaire.sciencefields 0303 health sciences
gdc.oaire.sciencefields 03 medical and health sciences
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gdc.opencitations.count 16
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