Comparison of stochastic and random models for bacterial resistance

Advances in Difference Equations

Tahir Khaniyev¹  Mehmet Merdan²  Tulay Kesemen³  Zafer Bekiryazici⁴ 

[1] Department of Industrial Engineering, TOBB University of Economics and Technology, Ankara, Turkey;Department of Mathematical Engineering, Gumushane University, Gumushane, Turkey;Department of Mathematics, Karadeniz Technical University, Trabzon, Turkey;Department of Mathematics, Recep Tayyip Erdogan University, Rize, Turkey

关键词: stochastic differential equation;    random differential equation;    Milstein scheme;    Euler-Maruyama scheme;    antibiotic resistance;    34F05;    92D30;   

DOI  :  10.1186/s13662-017-1191-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY