EN
On The Stability Analysis of The General Mathematical Modeling of Bacterial Infection
Abstract
In this study, a mathematical model examined the
dynamics among populations of sensitive bacteria and resistant bacteria to
antibiotic, antibiotic concentration and hosts immune system cells in an
individual (or host), received antibiotic therapy in the case of a local
bacterial infection, was proposed. Stability analysis of this model have been
also performed. In addition that, results of the analysis have supported by
numerical simulations.
Keywords
References
- Mondragón, E.I., Mosquera, S., Cerón, M., Burbano-Rosero, E.M., Hidalgo-Bonilla, S.P., Esteva, L., P.R-L Jhoana, Mathematical modeling on bacterial resistance to multiple antibiotics caused by spontaneous mutations, BioSystems, 117, 60–67, 2014. Daşbaşı, B. and Öztürk, İ., Mathematical modelling of bacterial resistance to multiple antibiotics and immune system response, SpringerPlus, 5, 1-17, 2016.
- Mahmoud, A. G. and Rice, L. B., Antifungal agents: mode of action, mechanisms of resistance, and correlation of these mechanisms with bacterial resistance, and correlation, Clin. Microbiol. Rev., 12(4), 501–517, 1999.
- Murray, J.D., Mathematical Biology. I. An introduction, Springer-Verlag, 3rd Edition, 2002.
- Murray, J.D., Mathematical Biology. II: Spatial Models and Biomedical Applications, Springer-Verlag, 3rd Edition, 2003.
- Daşbaşı, B., The Fractional-Order mathematical modeling of bacterial resistance against multiple antibiotics in case of local bacterial infection, Sakarya University Journal of Science, 251, 1-13, 2017.
- Alberts, B., Johnson, A., Lewis, J., Raff, M., Roberts, K. and Walter, P.P., Molecular Biology of the Cell. The Adaptive Immune System, Garland Science, 4th Edition, 2002.
- Hethcote, H.W., The mathematics of infectious diseases, SIAM Rev., 42, 599-653, 2000.
- Austin, D., Kakehashi, M. and Anderson, R.M., The transmission dynamics of antibiotic-resistant bacteria: The relationship between resistance in commensal organisms and antibiotic consumption, Proc. R. Soc. Lond. [Biol.], 264, 1629–1638, 1997.
Details
Primary Language
English
Subjects
Engineering
Journal Section
Research Article
Publication Date
August 15, 2018
Submission Date
July 18, 2018
Acceptance Date
August 10, 2018
Published in Issue
Year 2018 Volume: 10 Number: 2
APA
Daşbaşı, B., & Öztürk, İ. (2018). On The Stability Analysis of The General Mathematical Modeling of Bacterial Infection. International Journal of Engineering and Applied Sciences, 10(2), 93-117. https://doi.org/10.24107/ijeas.445520
AMA
1.Daşbaşı B, Öztürk İ. On The Stability Analysis of The General Mathematical Modeling of Bacterial Infection. IJEAS. 2018;10(2):93-117. doi:10.24107/ijeas.445520
Chicago
Daşbaşı, Bahatdin, and İlhan Öztürk. 2018. “On The Stability Analysis of The General Mathematical Modeling of Bacterial Infection”. International Journal of Engineering and Applied Sciences 10 (2): 93-117. https://doi.org/10.24107/ijeas.445520.
EndNote
Daşbaşı B, Öztürk İ (August 1, 2018) On The Stability Analysis of The General Mathematical Modeling of Bacterial Infection. International Journal of Engineering and Applied Sciences 10 2 93–117.
IEEE
[1]B. Daşbaşı and İ. Öztürk, “On The Stability Analysis of The General Mathematical Modeling of Bacterial Infection”, IJEAS, vol. 10, no. 2, pp. 93–117, Aug. 2018, doi: 10.24107/ijeas.445520.
ISNAD
Daşbaşı, Bahatdin - Öztürk, İlhan. “On The Stability Analysis of The General Mathematical Modeling of Bacterial Infection”. International Journal of Engineering and Applied Sciences 10/2 (August 1, 2018): 93-117. https://doi.org/10.24107/ijeas.445520.
JAMA
1.Daşbaşı B, Öztürk İ. On The Stability Analysis of The General Mathematical Modeling of Bacterial Infection. IJEAS. 2018;10:93–117.
MLA
Daşbaşı, Bahatdin, and İlhan Öztürk. “On The Stability Analysis of The General Mathematical Modeling of Bacterial Infection”. International Journal of Engineering and Applied Sciences, vol. 10, no. 2, Aug. 2018, pp. 93-117, doi:10.24107/ijeas.445520.
Vancouver
1.Bahatdin Daşbaşı, İlhan Öztürk. On The Stability Analysis of The General Mathematical Modeling of Bacterial Infection. IJEAS. 2018 Aug. 1;10(2):93-117. doi:10.24107/ijeas.445520
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