Table 1

Symbols in the mathematical model and their meanings. (The daily probability of a susceptible human becoming infected (pm) is 1 minus the probability of being bitten and not being infected. The number of bites received by a human per day is given by aM/H. The daily probability of a mosquito becoming infected (ph) is equal to 1 minus the probability of biting a number of times and not becoming infected, which depends on the proportion of infected humans and the efficacy of transmission.)

symbolmeaningvalues
Shnumber of human susceptibles
Lhnumber of humans with latent infection
Ihnumber of infectious humans
Vhnumber of vaccinated humans
Smnumber of susceptible mosquitoes
Lmnumber of exposed mosquitoes
Imnumber of infectious mosquitoes
Mtotal mosquito population[0.12–11.2]×H
Htotal human population1×106
cmosquito–human transmission efficiency[0.01–0.3]
amosquito daily biting rate[0.6, 1.2]
v0vaccine coverage before outbreak[0, 0.2, 0.4, 0.6, 0.8]
vvaccine effort (doses per day)[5, 10, 50, 100k]
tvdate of mass vaccination[0, 7, 14, 21, 27, 35]
th1/(infectious stage), humans[1/6, 1/3]
fprobability of vaccine failure0
riprobability of death by infection0.05–0.1
rrate of recovery in humans[1/4, 1/3]
mdeath rate of mosquitoes[0.04–0.17]
nbirth rate of mosquitoesm×(1−1/(1+10 000×exp(−.12×t)))
bhuman–mosquito transmission efficiency[0.01–0.3]
tm1/(infectious stage), mosquitoes[1/10, 1/6]
phhuman force of infection1−(1−(bIM/M)aM/H)
pmmosquito force of infection1−(1−(cIH/H)a)