Comparison of stochastic and random models for bacterial resistance
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, stochas...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-05-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-017-1191-5 |
| _version_ | 1818217631018123264 |
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| author | Mehmet Merdan Zafer Bekiryazici Tulay Kesemen Tahir Khaniyev |
| author_facet | Mehmet Merdan Zafer Bekiryazici Tulay Kesemen Tahir Khaniyev |
| author_sort | Mehmet Merdan |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-12T07:10:56Z |
| format | Article |
| id | doaj.art-260304ada0b449388e50ded4c3a681ac |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-12T07:10:56Z |
| publishDate | 2017-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-260304ada0b449388e50ded4c3a681ac2022-12-22T00:33:37ZengSpringerOpenAdvances in Difference Equations1687-18472017-05-012017111910.1186/s13662-017-1191-5Comparison of stochastic and random models for bacterial resistanceMehmet Merdan0Zafer Bekiryazici1Tulay Kesemen2Tahir Khaniyev3Department of Mathematical Engineering, Gumushane UniversityDepartment of Mathematics, Recep Tayyip Erdogan UniversityDepartment of Mathematics, Karadeniz Technical UniversityDepartment of Industrial Engineering, TOBB University of Economics and TechnologyAbstract 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.http://link.springer.com/article/10.1186/s13662-017-1191-5stochastic differential equationrandom differential equationMilstein schemeEuler-Maruyama schemeantibiotic resistance |
| spellingShingle | Mehmet Merdan Zafer Bekiryazici Tulay Kesemen Tahir Khaniyev Comparison of stochastic and random models for bacterial resistance Advances in Difference Equations stochastic differential equation random differential equation Milstein scheme Euler-Maruyama scheme antibiotic resistance |
| title | Comparison of stochastic and random models for bacterial resistance |
| title_full | Comparison of stochastic and random models for bacterial resistance |
| title_fullStr | Comparison of stochastic and random models for bacterial resistance |
| title_full_unstemmed | Comparison of stochastic and random models for bacterial resistance |
| title_short | Comparison of stochastic and random models for bacterial resistance |
| title_sort | comparison of stochastic and random models for bacterial resistance |
| topic | stochastic differential equation random differential equation Milstein scheme Euler-Maruyama scheme antibiotic resistance |
| url | http://link.springer.com/article/10.1186/s13662-017-1191-5 |
| work_keys_str_mv | AT mehmetmerdan comparisonofstochasticandrandommodelsforbacterialresistance AT zaferbekiryazici comparisonofstochasticandrandommodelsforbacterialresistance AT tulaykesemen comparisonofstochasticandrandommodelsforbacterialresistance AT tahirkhaniyev comparisonofstochasticandrandommodelsforbacterialresistance |