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Table 3 Transitions between the states of the stochastic model

From: Identifying conditions for elimination and epidemic potential of methicillin-resistant Staphylococcus aureus in nursing homes

Event Transition Rate Constant Rate
Admission of susceptible residents  → S (1 − λ (1 − λ
Discharge of susceptible residents S →  γ S γ S S
Admission of colonized with non-USA300  → I 1 (w 1 λ (w 1 λ
Discharge of colonized with non-USA300 I 1 →  w 1 γ I (w 1 γ I )I
Transmission of non-USA300 from colonized with non-USA300 to susceptible S + I 1 → 2I 1 \( \frac{b_{1n}}{N} \) \( \frac{b_{1n}}{N}S{I}_1 \)
Transmission of non-USA300 from co-colonized to susceptible S + I b  → I 1 + I b \( \frac{b_{1n}}{N} \) \( \frac{b_{1n}}{N}S{I}_b \)
Clearance of colonized with non-USA300 I 1 → S g n1 g n1 I 1
Admission of colonized with USA300  → I 3 (w 3 λ (w 3 λ
Discharge of colonized with USA300 I 3 →  w 3 γ I (w 3 γ I )I
Transmission of USA300 from colonized with USA300 to susceptible S + I 3 → 2I 3 \( \frac{b_{3n}}{N} \) \( \frac{b_{3n}}{N}S{I}_3 \)
Transmission of USA300 from co-colonized to susceptible S + I b  → I 3 + I b \( \frac{b_{3n}}{N} \) \( \frac{b_{3n}}{N}S{I}_b \)
Clearance of colonized with USA300 I 3 → S g n3 g n3 I 3
Admission of co-colonized with both strains  → I b (w b λ (w b λ
Discharge of co-colonized with both strains I b  →  w b γ I (w b γ I )I
Transmission of USA300 from co-colonized to colonized with non-USA300 I 1 + I b  → 2I b \( \frac{b_{3n}}{N} \) \( \frac{b_{3n}}{N}{I}_1{I}_b \)
Transmission of USA300 from colonized with USA300 to colonized with non-USA300 I 1 + I 3 → I b  + I 3 \( \frac{b_{3n}}{N} \) \( \frac{b_{3n}}{N}{I}_1{I}_3 \)
Transmission of non-USA300 from co-colonized to colonized with USA300 I 3 + I b  → 2I b \( \frac{b_{1n}}{N} \) \( \frac{b_{1n}}{N}{I}_3{I}_b \)
Transmission of non-USA300 from colonized with non-USA300 to colonized with USA300 I 1 + I 3 → I 1 + I b \( \frac{b_{1n}}{N} \) \( \frac{b_{1n}}{N}{I}_3{I}_1 \)
Clearance of co-colonized from USA300 I b  → I 1 g n3 g n3 I b
Clearance of co-colonized from non-USA300 I b  → I 3 g n1 g n1 I b