
Number of X patches

230
 

Number of Y patches

230
 
Environment

Diffusion

Percentage of contamination diffusing to the 8 neighboring patches

10%
 
Decay

Decontamination rate

1/125 day^{−1}

[31]

Rodents

Birth

Birth rate (b_{
m
})

10/365 day ^{−1}

Value in the range of [27] and [32]

Density dependent probability of birth of 1 juvenile by an adult rodent

b_{
m
} – 0.5(b_{
m
} –m_{
m
}) × N_{
m,i
}/K_{
m,i
}
 
Mortality

Mortality rate (m_{
m
})

2/365

[32]

Density dependent probability of rodent mortality

m_{
m
} + 0.5(b_{
m
} –m_{
m
}) × N_{
m,i
}/K_{
m,i
}
 
Density

N_{m,i} = number of mice in the 46 × 46 patches (=460 × 460 m^{2}) subdivision i
  
K_{
m,i
} = local carrying capacity of rodents (=Initial number of rodents) in the 46 × 46 patches subdivision i

300

*

Maturation

Weaning age of rodents

21 days

[27]

Age at sexual maturation of rodents

50 days

[27]

Movement

Range of patches travelled (in any direction) randomly chosen

02 patches

[33]

Infection

Probability of vertical transmission

0.15

Value in the range of [27] and [32]

Probability of rodent infection after ingesting one oocyst

1

[34]

Number of contact between rodent and the patch/day

12

*

Probability of infection from the environment while on patch j

1(1p_{
conta, j
})^{12}

See above

p_{
conta, j
} = level of contamination of patch j
  
Cats

Birth

Birth rate (b_{
c
})

2.4/365 day ^{−1}

[32]

Density dependent probability of birth of 1 juvenile by an adult cat

b_{
c
} – 0.5(b_{
c
} –m_{
c
}) × N_{
c
}/K_{
c
}
 
Mortality

Mortality rate (m_{
c
})

0.6/365 day^{−1}

[32]

Density dependent probability of cat mortality

m_{
c
} + 0.5(b_{
c
} –m_{
c
}) × N_{
c
}/K_{
c
}
 
Density

N_{
c
} = total number of cat on the entire site area
  

Carrying capacity of cats (=Initial number of cats)

100

order of magnitude observed in the field [19]

Maturation

Weaning age of cats

50 days

[27]

Age at sexual maturation of cats

240 days

[27]

Movement

Random cat location per activity within their homerange
 
Estimated from maximum distance from [29, 30]

Cat homerange radius picked in a gamma distribution

Γ(2, 0.014)

Infection

Probability of predation of rodent within 1 patch (=10 m) of a cat

1

*

Probability of cat infection after eating an infected rodent

1

[34]

Probability of cat infection after ingesting one oocyst

10^{−3}

[34]

Probability of infection from the environment while on patch j

10^{−3} × p_{
conta,j
}

see above

Prepatent period before oocyst shedding

7 days

[10]

Duration of infectiousness (=oocyst shedding period)

14 days

[10]

Environmental contamination

Probability of cat shedding oocysts per day

1

[35]

Level of contamination on a patch j after shedding of oocyst by one infected cat

0.01 + p_{
conta,j
}

See text
