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Title: Comparison of stochastic and random models for bacterial resistance
Authors: Merdan, Mehmet
Bekiryazıcı, Zafer
Kesemen, Tülay
Khaniyev, Tahir
Keywords: stochastic differential equation
random differential equation
Milstein scheme
Euler-Maruyama scheme
antibiotic resistance
Issue Date: May-2017
Publisher: Springer International Publishing Ag
Source: 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.
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.
[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
ISSN: 1687-1847
Appears in Collections:Endüstri Mühendisliği Bölümü / Department of Industrial Engineering
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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