Comparison of stochastic and random models for bacterial resistance


Merdan M., BEKİRYAZICI Z., YAZIR T., Xanıyev T.

Advances in Difference Equations, vol.2017, no.1, 2017 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 2017 Say: 1
  • Nəşr tarixi: 2017
  • Doi nömrəsi: 10.1186/s13662-017-1191-5
  • jurnalın adı: Advances in Difference Equations
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Açar sözlər: antibiotic resistance, Euler-Maruyama scheme, Milstein scheme, random differential equation, stochastic differential equation
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Bəli

Qısa məlumat

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.