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Table 2 List of symbols used in text

From: A weather-driven model of malaria transmission

B

Human blood index, the preference of a mosquito to bite humans and not other animals

Dd

Length of gonotrophic cycle in degree days

Gc

Length of gonotrophic cycle in days

H

Hepatic stage in days

HIR

Human new infection rate

Hi

Number of mosquitoes biting infected humans in a day

Hn

Number of mosquitoes biting uninfected humans in a day

H(s,t)

Human population at stage s of the development of infection at time t. s = 0 symbolises an uninfected host.

I(s,t)

Immature mosquito population at stage s of maturation cycle (in degree days) at time t

Le, L1, Lp

Length of egg, larval and pupal stage of mosquito maturation in days

M(s,Ss,t)

Mature mosquito population which is at stage s of gonotrophic cycle and stage Ss of sporogonic cycle at time t.

MIP

Infection probability of a single mosquito for each bite

m

Maturation rate of larvae in reciprocal days

N

Number of sections into which the gonotrophic cycle was divided.

p

Mosquito population daily survival rate

PR

Fraction of gonotrophic cycle covered in one day

r

Fraction of infected humans out of total human population

Rd

Dekadal (ten daily) rainfall in mm

R0

Single case multiplication factor: number of secondary cases induced per case

s

Dummy variable representing stage of development in degree days

SC

Length of sporogonic cycle in degree days

SR

Daily progression of sporozoites in degree days

SS

Stage of sporogonic cycle in degree days. SS = 0 represents an uninfected mosquito

Tc

Threshold temperature for gonotrophic or sporogonic cycle

α

Fractional per-gonotrophic cycle survival of mosquito.

χ

Fraction of mosquitoes biting infective humans that become themselves infected.

γ

Ratio of brood of each ovipositing mosquito to rainfall.

δ

Fractional per diem survival rate of human infection. Hence 1-d is the daily infection clearance rate.

φ

Total number of mosquitoes.

ν

Number of sections into which the larval cycle was divided.

σ

Per diem larval survival rate