Research Article

On The Stability Analysis of The General Mathematical Modeling of Bacterial Infection

Volume: 10 Number: 2 August 15, 2018
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

  1. 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.
  2. 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.
  3. Murray, J.D., Mathematical Biology. I. An introduction, Springer-Verlag, 3rd Edition, 2002.
  4. Murray, J.D., Mathematical Biology. II: Spatial Models and Biomedical Applications, Springer-Verlag, 3rd Edition, 2003.
  5. 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.
  6. 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.
  7. Hethcote, H.W., The mathematics of infectious diseases, SIAM Rev., 42, 599-653, 2000.
  8. 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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