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Multi‐drug antimicrobial resistance model
Author(s) -
Elettreby Mohammed Fathy,
Ahmed Elsayed
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6433
Subject(s) - antimicrobial , antimicrobial drug , drug , drug resistance , mathematics , class (philosophy) , stability (learning theory) , drug class , antibiotic resistance , medicine , antibiotics , pharmacology , biology , microbiology and biotechnology , computer science , artificial intelligence , machine learning
In this paper, we give a simple mathematical model for a multi‐drug antimicrobial resistance. The model describes the dynamics of the susceptible and three classes of infected populations. The first class of the infected society is sensitive to the first antimicrobial drug but resisted to the second drug. The other infected community responds to the second antimicrobial drug but resistant to the first drug, and the third class shows resistance to both of the two drugs. The stability conditions of the multi‐drug antimicrobial resistance equilibrium states are derived. Also, we illustrated the analytical results by some numerical simulations. Finally, we used the multiobjective optimization approach to find the minimum doses of antimicrobial drugs.