Research Article

A Mathematical Model of Treatment and Vaccination Interventions of Pneumococcal Pneumonia Infection Dynamics

Table 2

Parameter estimates for pneumonia model under interventions.

SymbolDescription Value Source

Per capita natural mortality rate 0.0002/day [2]
Per capita recruitment rate 10.09/day Estimated
Fraction of susceptible individuals that join the carriers 0.338/dayEstimated
Per capita disease induced mortality rate0.33/day[2]
Per capita recovery rate of carriers 0.0115/day Estimated
Force of infection of susceptible individuals 0.0287/day Estimated
Per capita recovery rate of infective individuals 0.0714/day [36]
Rate at which carriers develop symptoms 0.01096/day [7]
Rate at which treated individuals become susceptible 0.0241/day Estimated
Rate at which susceptible individuals get vaccinated 0.0621/dayEstimated
Rate at which treated individuals are vaccinated9.4/day Estimated
Transmission coefficient for the carrier subgroup 0.001124 [37]
Transmission rate7.6/day Estimated
Probability for a contact to cause infection 0.89–0.99 [37]
Contact rate 1–10/day [37]