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 nonUSA300
 ∅ → I
_{1}

(w
_{1}
λ)Λ

(w
_{1}
λ)Λ

Discharge of colonized with nonUSA300

I
_{1} → ∅ 
w
_{1}
γ
_{
I
}

(w
_{1}
γ
_{
I
})I

Transmission of nonUSA300 from colonized with nonUSA300 to susceptible

S + I
_{1} → 2I
_{1}

\( \frac{b_{1n}}{N} \)

\( \frac{b_{1n}}{N}S{I}_1 \)

Transmission of nonUSA300 from cocolonized to susceptible

S + I
_{
b
} → I
_{1} + I
_{
b
}

\( \frac{b_{1n}}{N} \)

\( \frac{b_{1n}}{N}S{I}_b \)

Clearance of colonized with nonUSA300

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 cocolonized 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 cocolonized with both strains
 ∅ → I
_{
b
}

(w
_{
b
}
λ)Λ

(w
_{
b
}
λ)Λ

Discharge of cocolonized with both strains

I
_{
b
} → ∅ 
w
_{
b
}
γ
_{
I
}

(w
_{
b
}
γ
_{
I
})I

Transmission of USA300 from cocolonized to colonized with nonUSA300

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 nonUSA300

I
_{1} + I
_{3} → I
_{
b
} + I
_{3}

\( \frac{b_{3n}}{N} \)

\( \frac{b_{3n}}{N}{I}_1{I}_3 \)

Transmission of nonUSA300 from cocolonized to colonized with USA300

I
_{3} + I
_{
b
} → 2I
_{
b
}

\( \frac{b_{1n}}{N} \)

\( \frac{b_{1n}}{N}{I}_3{I}_b \)

Transmission of nonUSA300 from colonized with nonUSA300 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 cocolonized from USA300

I
_{
b
} → I
_{1}

g
_{
n3}

g
_{
n3}
I
_{
b
}

Clearance of cocolonized from nonUSA300

I
_{
b
} → I
_{3}

g
_{
n1}

g
_{
n1}
I
_{
b
}
