Mycobacterium Tuberculosis için Genelleştirilmiş Kesirsel Mertebeden Matematiksel Modelin Kararlılık Analizi Üzerine

Bu çalışmada kesirsel mertebeden diferansiyel denklem sistemi temel alınarak bakteriyel bir enfeksiyon durumunda çoklu antibiyotik konsantrasyonu, bu antibiyotiklere hassas ve dirençli bakteri popülasyonları ve konakçının bağışıklık sistemi hücrelerinin aralarındaki dinamikleri inceleyen bir matematiksel model önerildi. Modelin çözümünün varlığı ve tekliği gösterildi. Ayrıca modelde kullanılan parametrelerin özel durumlarına göre, enfeksiyondan bağımsız denge noktasının varlığı ve bu denge noktasının kararlılığı bulundu. Bunlara ek olarak Mycobacterium Tuberculosis (Mtb) için literatürden elde edilen parametre değerleri kullanılarak önerilen tedavi yöntemiyle bire bir uyumlu Nümerik simülasyonlarla önerilen model desteklendi.

On the Stability Analysis of the Generalized Mathematical Model with Fractional-Order for Mycobacterium Tuberculosis

In this study, the mathematical model, based on the system of fractional-order differential equations and examined the dynamics among concentrations of multiple antibiotic, immune system cells of host and sensitive and resistant bacterial populations to antibiotic in case of bacterial infection, was proposed. The existence and uniqueness of this model solutions were showed. In addition, according to the specific conditions of the parameters used in the model, the existence of disease-free equilibrium point and the stability of this point was examined. The proposed model with numerical simulations by using the parameter values obtained from the literature for Mycobacterium Tuberculosis (Mtb) was supported, which is fully compatible with the recommended treatment method.

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Bibtex @araştırma makalesi { jist450193, journal = {Journal of the Institute of Science and Technology}, issn = {2146-0574}, eissn = {2536-4618}, address = {}, publisher = {Iğdır Üniversitesi}, year = {2019}, volume = {9}, pages = {272 - 287}, doi = {10.21597/jist.450193}, title = {Mycobacterium Tuberculosis için Genelleştirilmiş Kesirsel Mertebeden Matematiksel Modelin Kararlılık Analizi Üzerine}, key = {cite}, author = {Daşbaşı, Bahatdin} }
APA Daşbaşı, B . (2019). Mycobacterium Tuberculosis için Genelleştirilmiş Kesirsel Mertebeden Matematiksel Modelin Kararlılık Analizi Üzerine . Journal of the Institute of Science and Technology , 9 (1) , 272-287 . DOI: 10.21597/jist.450193
MLA Daşbaşı, B . "Mycobacterium Tuberculosis için Genelleştirilmiş Kesirsel Mertebeden Matematiksel Modelin Kararlılık Analizi Üzerine" . Journal of the Institute of Science and Technology 9 (2019 ): 272-287 <
Chicago Daşbaşı, B . "Mycobacterium Tuberculosis için Genelleştirilmiş Kesirsel Mertebeden Matematiksel Modelin Kararlılık Analizi Üzerine". Journal of the Institute of Science and Technology 9 (2019 ): 272-287
RIS TY - JOUR T1 - Mycobacterium Tuberculosis için Genelleştirilmiş Kesirsel Mertebeden Matematiksel Modelin Kararlılık Analizi Üzerine AU - Bahatdin Daşbaşı Y1 - 2019 PY - 2019 N1 - doi: 10.21597/jist.450193 DO - 10.21597/jist.450193 T2 - Journal of the Institute of Science and Technology JF - Journal JO - JOR SP - 272 EP - 287 VL - 9 IS - 1 SN - 2146-0574-2536-4618 M3 - doi: 10.21597/jist.450193 UR - Y2 - 2018 ER -
EndNote %0 Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi Mycobacterium Tuberculosis için Genelleştirilmiş Kesirsel Mertebeden Matematiksel Modelin Kararlılık Analizi Üzerine %A Bahatdin Daşbaşı %T Mycobacterium Tuberculosis için Genelleştirilmiş Kesirsel Mertebeden Matematiksel Modelin Kararlılık Analizi Üzerine %D 2019 %J Journal of the Institute of Science and Technology %P 2146-0574-2536-4618 %V 9 %N 1 %R doi: 10.21597/jist.450193 %U 10.21597/jist.450193
ISNAD Daşbaşı, Bahatdin . "Mycobacterium Tuberculosis için Genelleştirilmiş Kesirsel Mertebeden Matematiksel Modelin Kararlılık Analizi Üzerine". Journal of the Institute of Science and Technology 9 / 1 (Mart 2019): 272-287 .
AMA Daşbaşı B . Mycobacterium Tuberculosis için Genelleştirilmiş Kesirsel Mertebeden Matematiksel Modelin Kararlılık Analizi Üzerine. Iğdır Üniv. Fen Bil Enst. Der.. 2019; 9(1): 272-287.
Vancouver Daşbaşı B . Mycobacterium Tuberculosis için Genelleştirilmiş Kesirsel Mertebeden Matematiksel Modelin Kararlılık Analizi Üzerine. Journal of the Institute of Science and Technology. 2019; 9(1): 272-287.
IEEE B. Daşbaşı , "Mycobacterium Tuberculosis için Genelleştirilmiş Kesirsel Mertebeden Matematiksel Modelin Kararlılık Analizi Üzerine", Journal of the Institute of Science and Technology, c. 9, sayı. 1, ss. 272-287, Mar. 2019, doi:10.21597/jist.450193