Research Article

Mathematical Model of the Impact of a Nonantibiotic Treatment for Clostridium difficile on the Endemic Prevalence of Vancomycin-Resistant Enterococci in a Hospital Setting

Table 2

Distribution of patients and health care workers with or without VRE colonization on the basis of antibiotic versus nonantibiotic treatment of CDAD.

Patient colonization/HCW contamination statusAB statusModel with AB onlyModel with AB and non-ABChange with non-ABDifference with non-AB

Patient Steady State Values

uncolonized CDAD− patientoff195.176202.555increases7.390
uncolonized CDAD− patienton140.383143.553increases3.170
colonized CDAD− patientoff10.71979.0598decreases−1.6599
colonized CDAD− patienton47.334338.4389decreases−8.8954
uncolonized CDAD+ patienton4.74672.4307decreases−2.3160
colonized CDAD+ patienton1.67210.6798decreases−0.9923
uncolonized CDAD+ patientoff0.02.4535increases2.4535
colonized CDAD+ patientoff0.00.6570increases0.6570

Patient Totals at Steady State

total patients400.03399.828
Total VRE-colonized patients59.736148.83555decreases−10.8905
total CDAD+ patients6.41886.2210decreases−0.1978
total CDAD+ patients on AB6.41883.1105decreases−3.3083
total patients on AB194.136185.102decreases−9.034

Percentage of Patients Colonized at Steady State

% of all patients colonized14.930%12.214%decreases−2.716%
% CDAD− patients colonized14.749%12.068%increases−2.681%
% CDAD+ patients colonized26.050%21.488%decreases−4.562%

HCW Steady State Values

uncontaminated HCW95.334796.1513increases0.8166
contaminated HCW4.66533.8487decreases−0.8166

CDAD = Clostridium difficile-associated disease; VRE = vancomycin-resistant enterococci; HCW = health care worker; CDAD+ = Clostridium difficile-associated disease positive; CDAD− = clostridium difficile-associated disease negative; AB = antibiotic.