Time, measured in whole units equal to average length of sporogonic cycle, from infection of mosquito by malaria to cycle from which mosquito gives infectious bites

D

input 0< D

Number of age classes included in analysis

λ
 
Cycle number (identifies specific cycle in the λ cycles over which probabilities are tracked in the FCM)

i

0≤ i ≤λ

Malaria status, the number of whole or partial cycles since infection with malaria

m

0≤ m ≤λ, m = 0 means not infected

Biopesticide infection status, the number of whole or partial cycles since infection with biopesticide

l

0≤ l≤ λ, l = 0 means not infected

Average number of eggs laid in cycle i by mosquitoes surviving to the start of cycle i

F
_{
i
}
 
Average lifetime number of eggs laid per mosquito

φ
 
Average number of eggs laid in cycle i, by mosquitoes starting cycle i with malaria status m and biopesticide status l

f
_{
i,m,l
}

m<i l<i

Average probability of survival from start of cycle i to start of cycle i+1

S
_{
i
}
 
Average probability that a mosquito starting cycle i with malaria status m and biopesticide status l, will survive to start of cycle i+1

s
_{
i,m,l
}

m<i l<i

Average probability of a mosquito being alive at start of cycle i.

V
_{
i
}
 
Average probability of a mosquito being alive, with malaria status m and biopesticide status l, at start of period i.

v
_{
i,m,l
}

m<i l<i

Probability that a mosquito alive at start of cycle i with malaria status m and biopesticide status l, survives and bites host type h in cycle i

q
_{
i,m,l,h
}

m<i l<i

Type of host attacked

h

h=1, nonhuman

 
h=2, noninfectious human

 
h=3, infectious human

Average number of infectious bites in cycle i per mosquito alive at the start of cycle i

I
_{
i
}
 
Average lifetime number of infectious bites per mosquito

u
 