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Table 1 Parameter values for the model

From: Modeling bacterial resistance to antibiotics: bacterial conjugation and drug effects

Parameter Description Value Units Ref.
λ Conjugation rate 0.7 \(h^{-1}\) from \(R_{0}\)
K Bacteria carrying capacity 109 Cells [18]
\(g_{S}\) Growth rate of sensitive bacteria 1 \(h^{-1}\) [18, 29]
\(g_{R}\) Growth rate of resistant bacteria 0.65 \(h^{-1}\) [18, 29]
p Probability of losing a plasmid 0.5 varied
d Natural death rate 0.5 \(h^{-1}\)  
\(E^{S}_{\max }\) Maximal kill rate of sensitive bacteria 1.5 \(h^{-1}\) [18, 30]
\(E^{R}_{\max }\) Maximal kill rate of resistant bacteria 1.1 \(h^{-1}\) [18, 30]
\(A^{S}_{50}\) Concentration of antibiotic which has half maximum effect on sensitive bacteria 0.25 μg/ml [18, 31]
\(A^{R}_{50}\) Concentration of antibiotic which has half maximum effect on resistant bacteria 5 μg/ml [18, 31]
\(\alpha _{A}\) Elimination rate of antibiotic under an intravenous therapy 0.15 \(h^{-1}\) [18, 32, 33]