Skip to main content

Table 1 The Model’s variables, parameters, biological meaning and values

From: Modelling the effect of a dengue vaccine on reducing the evolution of resistance against antibiotic due to misuse in dengue cases

Variable/ParameterBiological MeaningInitial condition/Value used in the simulations
Antibiotic Resistance Modela
X(t)Individuals susceptible to the hospital infection100
Y(t)Individuals infected with a sensitive strain1
Z(t)Individuals infected with a resistant strain0.41
 ΛInternment rate3.33 × 10− 2 days− 1
μDischarging rate3.33 × 10− 2 days− 1
β1Rate of infection with the sensitive strain6.45 × 10− 3 days− 1
β2Rate of infection with the resistant strain6.00 × 10− 3 days− 1
pFraction treated with the antibiotic0.7
γRecovered from infection with the sensitive strain2.50 × 10− 1 days− 1
αMortality rate induced by the infection1.15 × 10− 1 days− 1
θRate of mutation from sensitive to resistant strains1.00 × 10− 7 days− 1
ξTreatment induced mutation rate1.00 × 10− 6 days− 1
ωRate of spontaneous plasmids transfer1.15 × 10− 5 days− 1
δRate of treatment induced plasmids transfer1.15 × 10− 4 days− 1
σRate of back mutation from resistant to sensitive strains1.00 × 10− 8 days− 1
Dengue Modelb
SH(t)Individuals susceptible to dengue1.00 × 105
\( {I}_H^G(t) \)Non-hospitalized individuals infected with dengue1.0
IH(t)Hospitalized individuals infected with dengue0.0
RH(t)Individuals recovered from dengue0.0
VH(t)Individuals vaccinated against dengue0.0
SM(t)Mosquitoes susceptible to dengue1.50 × 105
LM(t)Mosquitoes latent with dengue1
IM(t)Mosquitoes infective with dengue0
μHBirth/Mortality rate3.92 × 10− 5 days− 1
υHVaccination rateVariable
aMosquitoes’ biting rate10 days− 1
bProbability of infection from mosquitoes to humans0.6
cProbability of infection from humans to mosquitoes0.6
γHRecovered from infection with the sensitive strain5.0 × 10− 1 days− 1
αHDengue-induced mortality rate1.00 × 10−5 days− 1
p'Fraction of dengue-infected individuals mistreated with antibiotics.Variable
hFraction of dengue-infected individuals that are hospitalized0.3
κFraction of non-hospitalized dengue-infected individuals that recover from infection0.7
dRate of hospital discharge of dengue patients1.00 × 10−2 days−1
  1. aParameters’ and initial conditions’ values from reference [25]
  2. bParameters’ and initial conditions’ values from reference [26]