|
R0
|
Basic reproductive number, the number of secondary cases that arise from the introduction of one infected host into a completely susceptible population |
|
B
|
Proportion of bites by infectious vectors that lead to host infection |
|
C
|
Proportion of bites on infected hosts that lead to vector infection |
| 1/ρ
|
Duration of viremic period in host |
|
C
|
Vectorial capacity, number of infective bites that arise following the introduction of a single infectious host into a completely susceptible population |
|
M
|
Number of vectors per host |
|
N
|
Total number of mosquitoes |
|
A
|
Biting rate |
|
G
|
Age-independent mortality rate of vectors |
|
N
|
Duration of extrinsic incubation period |
|
Cx
|
Age-specific vectorial capacity |
| Ωx
|
Fraction of the vector population in age class x
|
| Σ |
Minimum age at which vectors begin biting hosts |
|
Ω
|
Maximum vector life span |
|
pi
|
Daily survival at age i
|
|
ex
|
Remaining life expectancy at age x
|
|
δx
|
Age distribution |
|
R
|
Intrinsic growth rate |
|
S(x)
|
Survival at age x
|
|
g(x)
|
Age-specific mortality rate of vectors at age x
|
| ƒ(x)
|
Fecundity at age x
|
|
H
|
Entropy; describes curvature of survival curve |
|
Α
|
Initial mortality rate |
|
B
|
Rate of exponential mortality increase with age |
|
Q
|
Parameter influencing location of age-dependent mortality extrema |
|
µ
|
Parameter of age-dependence in mortality |
| Ξ |
Parameter of age-dependence when mortality declines with age |
|
e0
|
Mean lifespan |
|
Y(t)
|
Proportion of the vector population that is infectious |
|
X(t)
|
Proportion of the host population that is infected and infectious |
|
pt(x)
|
Probability that vector of age x born at time t is infectious |
| ƒt
(y)
|
Probability that vector born at time t becomes infected during 1st blood meal at age y
|
|
E
|
Emergence rate of vectors |
