Comparison of stochastic and random models for bacterial resistance
| Autor: | Zafer Bekiryazici, Tahir Khaniyev, Mehmet Merdan, Tülay Kesemen |
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| Přispěvatelé: | RTEÜ, Fen - Edebiyat Fakültesi, Matematik Bölümü, Bekiryazıcı, Zafer, TOBB ETU, Faculty of Engineering, Department of Industrial Engineering, TOBB ETÜ, Mühendislik Fakültesi, Endüstri Mühendisliği Bölümü, Khaniyev, Tahir |
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
0301 basic medicine
antibiotic resistance Stochastic modelling Antibiotic resistance 020209 energy 02 engineering and technology stochastic differential equation Malliavin calculus Euler-Maruyama scheme 03 medical and health sciences symbols.namesake Stochastic differential equation Stochastic simulation Deterministic simulation 0202 electrical engineering electronic engineering information engineering Runge–Kutta method Applied mathematics Mathematics Algebra and Number Theory lcsh:Mathematics Applied Mathematics Mathematical analysis lcsh:QA1-939 random differential equation Stochastic partial differential equation 030104 developmental biology Random differential equation Milstein scheme symbols Stochastic optimization Analysis |
| Zdroj: | Advances in Difference Equations, Vol 2017, Iss 1, Pp 1-19 (2017) |
| Popis: | 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 |
| Databáze: | OpenAIRE |
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