|
Parameter | Meaning | Value | Source |
|
| Increase in mean annual temperature relative to historical | 0- to 5-degree Celsius | Arbitrary |
b | Per capita egg production per day | 300 | [5, 6] |
de | Daily death rate for eggs | 0.015 | [43] |
d1 | Daily death rate of young hardening larvae | 0.01 | [44] |
dn1, dA1 | Daily death rate of engorged larvae and engorged nymphs | 0.001 | [45] |
d2, dn2, dA2 | Daily death rate of questing larvae, nymphs, and adults | 0.094 | [44] |
d3a = dfna = dA3a | Daily death rate of feeding larva, nymphs, and adults on host type a (IM) | 0.51 | [39] |
d3b = dfnb = dA3b | Daily death rate of feeding larva, nymphs, and adults on host type b (IS) | 0.89 | [39] |
d3c = dfnc = dA3c = d3e = dfne = dA3e | Daily death rate of feeding larva, nymphs, and adults on host types c and e (CUM, CIM) | 0.73 | [39] |
d3d = dfnd = dA3d = d3f = dfnf = dA3f | Daily death rate of feeding larva, nymphs, and adults on host types c and e (CUS, CIS) | 0.72 | [39] |
dA4 | Daily death rate of engorged adults | 0.5 | [5, 6] |
me(T) | Egg to larvae maturation rate | | [6] |
m1 | Young hardening larvae to questing larvae maturation rate | 0.033 | [43] |
m2, mn2, mA2 | Questing tick to feeding tick maturation (all stages) | 0.5 | Estimated questing period of 5–6 days |
m3, mfn, mA3 | Feeding tick maturation rate, all stages, all hosts | 0.5 | [46] |
mn1(T) | Engorged larvae maturation rate | | [6] |
mA1(T) | Engorged nymph maturation rate | | [6] |
r | A numerical feature to ensure you never divide by 0 | 0.001 | |
| Probability of larvae infection | 0.1 | Estimated |
| Probability of nymph infection | 0.1 | Estimated |
Ca | Per host tick carrying capacity of host type a, incompetent mobile | 239 | [39] |
Cb | Per host tick carrying capacity of incompetent stationary hosts | 176.75 | [39] |
Cc = Ce | Per host tick carrying capacity of CUM and CIM hosts | 11.4 | [39] |
Cd = Cf | Per host tick carrying capacity of CUS and CIS hosts | 46.84 | [39] |
bIM | Birth rate of incompetent mobile hosts | 0.00261 | [39, 40, 47] |
bIS | Birth rate of incompetent stationary hosts | 0.0102 | [39, 40, 47] |
bCUM | Birth rate of competent uninfected mobile hosts | 0.00753 | [39, 40, 48] |
bCUS | Birth rate of competent uninfected stationary host | 0.0176 | [39, 40, 47] |
dIM | Death rate of IM hosts | 0.000609 | [39, 40, 47] |
dIS | Death rate of IS hosts | 0.00129 | [39, 40, 47] |
dCUM = dCIM | Death rate of competent uninfected mobile hosts | 0.00157 | [39, 40, 48] |
dCUS = dCIS | Death rate of competent uninfected stationary hosts | 0.00345 | [39, 40, 47] |
KIM | Cell carrying capacity of IM host | 25 | [39] |
KIS | Cell carrying capacity of IS hosts | 45 | [39] |
KCM | Cell carrying capacity of CUM + CIS hosts | 3100 | [39] |
KCS | Cell carrying capacity of CUS + CIS hosts | 9,335 | [39] |
| Probability of CUM host infection (per infective tick per day × number of hosts of that type) | 0.117 | [39] |
| Probability of competent uninfected stationary host infection (per infective tick per day × number of hosts of that type) | 0.6635 | [39] |
E(0) | Initial number of eggs | 10,000,000 | |
NU1(0) | Initial uninfected engorged larvae | 5,000,000 | |
AU1(0) | Initial uninfected engorged nymphs | 300,000 | |
IM(0) | Initial incompetent mobile hosts | 25 | |
IS(0) | Initial incompetent stationary hosts | 45 | |
CUM(0) | Initial competent mobile hosts | 3,100 | |
CUS(0) | Initial competent stationary hosts | 9,335 | |
All other initial conditions | | 0 | |
|