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

Bahatdin Daşbaşı

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

Fractional-order differential equation,Stability analysis,Numerical simulation

References

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Bahatdin Daşbaşı ^*
0000-0001-8201-7495
Türkiye

Publication Date

January 1, 2019

Submission Date

July 27, 2018

Acceptance Date

January 11, 2019

Published in Issue

Year 2019 Number: 26

IZ

https://izlik.org/JA73FG59JX

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