TY  - EJOU
AU  - Elettreby, M. F. 
AU  - Alqahtani, Ali S. 
AU  - Ahmed, E. 

TI  - Fractional-Order Model for Multi-Drug Antimicrobial Resistance
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2020
VL  - 124
IS  - 2
SN  - 1526-1506

AB  - 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.
KW  - Susceptible
KW  -  infectious
KW  -  drug resistance
KW  -  stability
KW  -  predictor-corrector method

DO  - 10.32604/cmes.2020.09194