Research Article

Global Stability of Pneumococcal Pneumonia with Awareness and Saturated Treatment

Table 1

Description of parameters.

ParameterDescriptionValue/day−1Ref

ARecruitment by birth/immigration5Assd
βMaximal effective contact rate before antibiotic resistance awareness0.0417[32]
Maximal reduced effective contact rate due to media alerts0.0046Assd
Contact rate of aware susceptible with infective individuals0.000007498Assd
Rate of relapse encountered in administering treatment0.00145Assd
μNatural mortality rate[2]
mEfficiency of awareness through media coverage0.5Assd
δExcess death due to pneumococcal pneumonia0.1[33, 34]
ξLoss of information about disease by aware susceptible individuals0.3[15]
Recovery rate due to treatment0.9[35]
DNumber of days delayed in receiving appropriate treatment1–14 days[20]
τRate of delay to receive appropriate treatment0.2703Assd
pProbability of acquiring resistance during treatment[30]
υRate at which unaware susceptible individuals become aware of antibiotic resistance0.0029Assd