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Table 2 Possible changes in the stochastic model

From: Modeling Clostridium difficile in a hospital setting: control and admissions of colonized and symptomatic patients

Event

Transition

Probability of a transition event

Admission of a colonized patient with high antibody levels

A→A+1

λ A Λ δ t

Colonization in a patient with high antibody levels

A→A+1

p[ε(βAA+βCC)+σβII]δt

Discharge of a colonized patient with high antibody levels

A→A−1

γ A A δ t

Admission of a colonized patient with low antibody levels

C→C+1

λ C Λ δ t

Colonization in a patient with low antibody levels

C→C+1

(1−p)[ε(βAA+βCC)+σβII]δt

Colonization in a patient who is successfully treated

C→C+1

(1−r)νIδt

Discharge of a colonized patient with low antibodies levels

C→C−1

γ C C δ t

Admission of an infectious patient

I→I+1

λ I Λ δ t

Infection of in colonized patient

I→I+1

q γ C C δ t

Recovery or death from an infection

I→I−1

(1−r)νIδt