Fractional-Order Model for Multi-Drug Antimicrobial Resistance
- M. F. Elettreby1, 2, *, Ali S. Alqahtani1, E. Ahmed2
1 Mathematics Department, Faculty of Science, King Khalid University, Abha, 9004, Saudi Arabia.
2 Mathematics Department, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt.
* Corresponding Author: M. F. Elettreby. Email: mohfathy@mans.edu.eg.
(This article belongs to this Special Issue: Data Science and Modeling in Biology, Health, and Medicine)
2 Mathematics Department, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt.
* Corresponding Author: M. F. Elettreby. Email: mohfathy@mans.edu.eg.
(This article belongs to this Special Issue: Data Science and Modeling in Biology, Health, and Medicine)
Received 20 November 2019; Accepted 06 March 2020; Issue published 20 July 2020
Abstract
Drug resistance is one of the most serious phenomena in financial, economic and
medical terms. The present paper proposes and investigates a simple mathematical
fractional-order model for the phenomenon of multi-drug antimicrobial resistance. The
model describes the dynamics of the susceptible and three kinds of infected populations.
The first class of the infected society responds to the first antimicrobial drug but resists
to the second one. The second infected individuals react to the second antimicrobial drug
but resist to the first one. The third class shows resistance to both of the two drugs. We
formulate the model and associate it with some of its properties. The stability conditions
of the multi-drug antimicrobial resistance equilibrium states are derived. We illustrate
the analytical results by some numerical simulations.
Keywords
Susceptible, infectious, drug resistance, stability, predictor-corrector method.
Cite This Article
Elettreby, M. F., Alqahtani, A. S., Ahmed, E. (2020). Fractional-Order Model for Multi-Drug Antimicrobial Resistance. CMES-Computer Modeling in Engineering & Sciences, 124(2), 665–682.
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