Research Article

Fractional-order Mathematical Modeling of Bacterial Competition with Theraphy of Multiple Antibiotics

Number: 26 January 1, 2019
EN

Fractional-order Mathematical Modeling of Bacterial Competition with Theraphy of Multiple Antibiotics

Abstract

In this study, a mathematical model in form fractional-order differential equations (FDE) system identifying population dynamics in two species bacteria struggling one another and exposed to multiple antibiotics simultaneously, was suggested. Stability analysis of the equilibrium points of the proposed model was also carried out. Additionally, the results of the analysis have promoted by numerical simulations.

Keywords

References

  1. [1] H. El-Saka and A. El-Sayed, Fractional Order Equations and Dynamical Systems. Germany: Lambrt Academic Publishing, 2013.
  2. [2] B. Daşbaşı, The Fractional-Order mathematical modeling of bacterial resistance against multiple antibiotics in case of local bacterial infection, Sakarya University Journal of Science 251 (2017) 1-13.
  3. [3] T. J. Faber, A. Jaishankar, and G. H. McKinley, Describing the firmness, springiness and rubberiness of food gels using fractional calculus. Part II: Measurements on semi-hard cheese, Food Hydrocolloids 62 (2017) 325-339.
  4. [4] C.-Q. Fang, H.-Y. Sun, and J.-P. Gu, Application of Fractional Calculus Methods to Viscoelastic Response of Amorphous Shape Memory Polymers, Journal of Mechanics 4 (2015) 427-432.
  5. [5] J. F. Gomez-Aguilar, R. Razo-Hernandez, and D. Granados-Lieberman, A physical interpretation of fractional calculus in observables terms: analysis of the fractional time constant and the transitory response, Revista Mexicana de Fisica 60 (2014) 32–38.
  6. [6] C. Ionescu, R. Caponetto, and Y.-Q. Chen, Special Issue on Fractional Order Modeling and Control in Mechatronics, Mechatronics 23 (2013) 739-740.
  7. [7] Y. Liu, Y.-F. Pu, X.-D. Shen, and J.-L. Zhou, Design of 1/2 n order analog fractance approximation circuit based on continued fractions decomposition, Journal of Circuits, Systems and Computers 44 (2012) 153-158.
  8. [8] B. Daşbaşı, İ. Öztürk, and F. Özköse, Mathematical Modelling of Bacterial Competition with Multiple Antibiotics and it's Stability Analysis, Karaelmas Fen ve Mühendislik Dergisi 6 (2016) 299-306.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

January 1, 2019

Submission Date

July 27, 2018

Acceptance Date

January 11, 2019

Published in Issue

Year 2019 Number: 26

APA
Daşbaşı, B. (2019). Fractional-order Mathematical Modeling of Bacterial Competition with Theraphy of Multiple Antibiotics. Journal of New Theory, 26, 90-103. https://izlik.org/JA73FG59JX
AMA
1.Daşbaşı B. Fractional-order Mathematical Modeling of Bacterial Competition with Theraphy of Multiple Antibiotics. JNT. 2019;(26):90-103. https://izlik.org/JA73FG59JX
Chicago
Daşbaşı, Bahatdin. 2019. “Fractional-Order Mathematical Modeling of Bacterial Competition With Theraphy of Multiple Antibiotics”. Journal of New Theory, nos. 26: 90-103. https://izlik.org/JA73FG59JX.
EndNote
Daşbaşı B (January 1, 2019) Fractional-order Mathematical Modeling of Bacterial Competition with Theraphy of Multiple Antibiotics. Journal of New Theory 26 90–103.
IEEE
[1]B. Daşbaşı, “Fractional-order Mathematical Modeling of Bacterial Competition with Theraphy of Multiple Antibiotics”, JNT, no. 26, pp. 90–103, Jan. 2019, [Online]. Available: https://izlik.org/JA73FG59JX
ISNAD
Daşbaşı, Bahatdin. “Fractional-Order Mathematical Modeling of Bacterial Competition With Theraphy of Multiple Antibiotics”. Journal of New Theory. 26 (January 1, 2019): 90-103. https://izlik.org/JA73FG59JX.
JAMA
1.Daşbaşı B. Fractional-order Mathematical Modeling of Bacterial Competition with Theraphy of Multiple Antibiotics. JNT. 2019;:90–103.
MLA
Daşbaşı, Bahatdin. “Fractional-Order Mathematical Modeling of Bacterial Competition With Theraphy of Multiple Antibiotics”. Journal of New Theory, no. 26, Jan. 2019, pp. 90-103, https://izlik.org/JA73FG59JX.
Vancouver
1.Bahatdin Daşbaşı. Fractional-order Mathematical Modeling of Bacterial Competition with Theraphy of Multiple Antibiotics. JNT [Internet]. 2019 Jan. 1;(26):90-103. Available from: https://izlik.org/JA73FG59JX

 

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