Fractional-Order Model for Multi-Drug Antimicrobial Resistance  

作　　者：M.F.Elettreby Ali S.Alqahtani E.Ahmed 

机构地区：[1]Mathematics Department,Faculty of Science,King Khalid University,Abha,9004,Saudi Arabia [2]Mathematics Department,Faculty of Science,Mansoura University,Mansoura,35516,Egypt

出　　处：《Computer Modeling in Engineering & Sciences》2020年第8期665-682,共18页工程与科学中的计算机建模（英文）

基　　金：The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through Larg Research Group Project under grant number(R.G.P.1/198/41).

摘　　要：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.

关 键 词：SUSCEPTIBLE INFECTIOUS drug resistance stability predictor-corrector method 

分 类 号：O17[理学—数学]