Event | Transition | Rate Constant | Rate |
---|---|---|---|
Admission of susceptible residents | ∅ → S | (1 − λ)Λ | (1 − λ)Λ |
Discharge of susceptible residents | S → ∅ | γ S | γ S S |
Admission of colonized with non-USA300 | ∅ → I 1 | (w 1 λ)Λ | (w 1 λ)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)Λ | (w 3 λ)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)Λ | (w b λ)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 |