Equilibrium Analysis of a Yellow Fever Dynamical Model with Vaccination
Table 2
Description of the parameters of the yellow fever model (1).
Parameter
Biological meaning
Value (baseline)
Average daily biting rate
3.0
Fraction of actually infective bites(+)
0.6
Humans natural mortality rate
3.5 10−5 days−1
Birth rate of humans
9.5 10−5 days−1
Humans carrying capacity
5 106
Yellow fever mortality in humans
3.5 10−4 days−1
Humans recovery rate
0.143 days−1
Susceptible eggs hatching rate
0.15 days−1
Rate of waning of immunity induced by vaccination
0.1 days−1
Vaccination rate
0.5
Vaccine efficacy
0.9
Mosquitoes latency rate
0.143 days−1
Mosquitoes natural mortality rate
0.09 days−1
Oviposition rate
50 days−1
Aquatic carrying capacity
9.8 107
Aquatic natural mortality rate
0.1 days−1
A. aegypti susceptibility to yellow fever(&)
0.8
Climatic factor(#)
0.07
Probability that an infective bite generates a new infection in humans.
(&)Probability that a new infection in the mosquito is generated when it bites an infective host.
(#)Ad hoc parameter that modulates seasonality.
