|
|
 |
| |
|
|
|
Fractional Model of Susceptibility Characteristics of ESBL- Producing K. Pneumoniae Infections for Carbapenems and Piperacillin-Tazobactam |
|
|
|
PP: 53-62 |
|
|
|
doi:10.18576/pfda/100105
|
|
|
|
Author(s) |
|
|
|
Cemile Bagkur,
Bilgen Kaymakamzade,
|
|
|
|
Abstract |
|
|
| In this paper, we provide a fractional dynamical model of extended spectrum beta lactamase (ESBL)-producing Klebsiella pneumoniae to visualize future perspective of susceptibility characteristics of K. pneumoniae infections for antibiotics; carbapenems and piperacillin-tazobactam (PTZ). The model approach is based on the Caputo type fractional differential equation system. The existence and uniqueness of the system solution is demonstrated using Lipschitz conditions. Two equilibrium points were found, the absence of disease and the presence of disease, and stability analyzes were performed with the help of Hurwitz criterion. According to the SIS-type model, while non-ESBL K. pneumoniae infections seem to remain susceptible to both antibiotic groups, the opposite is true for ESBL-producing K. pneumoniae infections. For ESBL- producing K. pneumoniae infections, resistance to both carbapenems and PTZ will occur approximately 7.5 years later according to the mathematical modelling of our data. In addition, resistance to PTZ in ESBL-producing infections is observed to be less than to carbapenems. As a result, resistance against agents called last line antibiotics, which are preferred in the treatment of ESBL-producing infections, has been observed that will increase in the future, and necessary measures should be taken to delay this situation.
|
|
|
|
|
|
|
|
