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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  
1/f 1   Length of one feeding cycle
A τA/f   Chronological age
e-g/f= p1/f P f   Probability of surviving feeding cycle
1/g   Lifespan (days)
1-P f   Proportion of parous mosquitoes
  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