Research Article

HIV/AIDS-Pneumonia Coinfection Model with Treatment at Each Infection Stage: Mathematical Analysis and Numerical Simulation

Table 2

Description of parameters in model (3).

ParameterBiological meaningUnit

Natural death rate
Recruitment rate of susceptible individuals
The progression rate from acute HIV infection to chronic HIV
The progression rate from chronic HIV infection to AIDS
The modification parameter accounting that acute HIV-infected individual is more susceptible to pneumonia
The modification parameter accounting that chronic HIV-infected individual is more susceptible to pneumonia
The modification parameter accounting that AIDS patient individual is more susceptible to pneumonia infection
HIV/AIDS force of infection
Pneumonia force of infection
The progression rate from acute HIV and pneumonia coinfection to chronic HIV and pneumonia coinfection
The progression rate from coinfection of chronic HIV-pneumonia to AIDS-pneumonia coinfection
Pneumonia disease-induced death rate
AIDS disease-induced death rate
AIDS and pneumonia diseases-induced death rate
Treatment rate for pneumonia-infected individuals
Portion of pneumonia infected who become susceptible againDimensionless
Treatment rate for acute HIV-infected individuals
Treatment rate for chronic HIV-infected individuals
Treatment rate for AIDS stage-infected individuals
Treatment rate for acute HIV and pneumonia coinfected
Treatment rate for chronic HIV and pneumonia coinfection
Treatment rate for AIDS and pneumonia coinfection
HIV/AIDS transmission rate
Pneumonia transmission rate