Table 2 Formulas from classic and cyclical feeding models. A comparison of classic formulae with those from cyclical feeding models [8]. In the third column, a simple alternative is given using a term defined in an earlier row. For direct comparison, the formula fQ is used instead of a. Also, ε denotes the number of adult mosquitoes that emerge per human per day, and X denotes the proportion of infectious humans. Other parameters are described in Table 1. The emergence rate ε may differ from the number that are feeding for the first time on a human per day, N, used by Saul, et al., depending on the behavior of nulliparous mosquitoes [8,27]. All these formulae are given for a random sample of mosquitoes; sampling methods may take a biased sample of mosquitoes at various stages in the gonotrophic cycle.
From: Statics and dynamics of malaria infection in Anopheles mosquitoes
Classic Model | Cyclical Feeding Model | Alternative | Â |
|---|---|---|---|
1/f | 1 | Â | Length of one feeding cycle |
A | τ ≈ A/f |  | Chronological age |
e-g/f= p1/f | P f | Â | Probability of surviving feeding cycle |
1/g |
| Â | Lifespan (days) |
| 1-P f | Â | Proportion of parous mosquitoes |
|
| Â | Human Blood Index (HBI) |
|
| Y | Proportion of Infected Mosquitoes |
e -gn |
| P e | Probability of surviving incubation period |
|
| Z = Y P e | Sporozoite Rate |
|
| S | Stability Index |
mfQ | εQ/(1-P f ) | εS | Human Biting Rate (HBR) |
|
| SZ | Lifetime Transmission Potential (β) |
|
| εβ | Entomological Inoculation Rate (EIR) |
|
| εS 2 P e | Vectorial Capacity (C) |
|
| bcS 2 P e | Vectorial Capacity, per Mosquito (V) |
|
| cSP e | Individual Vectorial Capacity (IC) |
|
| bcC/r | Basic Reproductive Number, R0 |
