B | Human blood index, the preference of a mosquito to bite humans and not other animals |
D_{d} | Length of gonotrophic cycle in degree days |
G_{c} | Length of gonotrophic cycle in days |
H | Hepatic stage in days |
H_{IR} | Human new infection rate |
H_{i} | Number of mosquitoes biting infected humans in a day |
H_{n} | 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 |
L_{e}, L_{1}, L_{p} | Length of egg, larval and pupal stage of mosquito maturation in days |
M(s,S_{s},t) | Mature mosquito population which is at stage s of gonotrophic cycle and stage S_{s} of sporogonic cycle at time t. |
M_{IP} | 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 |
P_{R} | Fraction of gonotrophic cycle covered in one day |
r | Fraction of infected humans out of total human population |
R_{d} | Dekadal (ten daily) rainfall in mm |
R_{0} | Single case multiplication factor: number of secondary cases induced per case |
s | Dummy variable representing stage of development in degree days |
S_{C} | Length of sporogonic cycle in degree days |
S_{R} | Daily progression of sporozoites in degree days |
S_{S} | Stage of sporogonic cycle in degree days. S_{S = 0} represents an uninfected mosquito |
T_{c} | 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 |