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. 2012 Jul 10;109(30):12213–12218. doi: 10.1073/pnas.1208326109

Table 1.

Parameter definitions and values used for numerical simulations of the transmission of huanglongbing from infectious adult psyllids to citrus flush and from infectious flush to psyllid nymphs and adults

Parameter Definition Value Units Reference*
Inline graphic Mortality rate of nymphs 0.0035 d−1 (6)
Inline graphic Effective time spent per visit on a flush 0.10–0.15 d (5)
Inline graphic Feeding rate for inoculation to occur 4.8 d−1 (5, 18)
Inline graphic Rate at which eggs become non viable 0.011 d−1 (6)
Inline graphic Rate at which infected flush becomes infectious 0.005–0.033 d−1 Estimate (3)
Inline graphic Rate at which asymptomatic infected flush becomes symptomatic 0.005–0.033 d−1 Estimate (3)
Inline graphic Number of flushes visited per day 1.0 d−1 Estimate
Inline graphic Feeding rate by adult vectors for acquisition to occur 48–96 d−1 (2)
Inline graphic Feeding rate by nymphs for acquisition 12 d−1 Estimate
Inline graphic Rate at which nymphs become adults 0.078 d−1 (6)
Inline graphic Mortality rate of adult 0.025 d−1 (6)
Inline graphic Rate of oviposition 15.77 d−1 (6)
Inline graphic Rate at which eggs become nymphs 0.24 d−1 (6)
Inline graphic Maturation rate of flush 0.071 d−1 (6, 8)
Inline graphic Infectiousness of symptomatic flush 3 (22)
Inline graphic Increased infectiousness of Inline graphic 6 (18)
Inline graphic Emigration rate of adult psyllids 0.4 d−1 Estimate
Inline graphic Internal transmission rate among flushes 0.2–0.35 d−1 Estimate
Inline graphic Baseline input rate of healthy flush 0.5 d−1 Estimate
Inline graphic Strength of seasonality 0.9 1 Estimate
Inline graphic Period π/90 Estimate

*Parameter values from ref. 6 were at an average temperature of 28 °C. See SI Text.

The assumption made is based on the fact that nymphs have a shorter piercing mouth; therefore, it would take longer to obtain Las for nymphs than for adults.

The rate was deduced from the fact that Pluke et al. (8) noted that by the time flushes expanded and hardened, nymphs would have completed their development. (Value of development from egg to adult used is from ref. 6.)