Table 1
Interpretation of state variables and parameters for the HIV/AIDS model (2).
| Compartment | Description |
|---|---|
| 𝒮 | Susceptible individuals |
| 𝒮P | HIV/AIDS Protected individuals |
| ℐ | Individuals infected with HIV/AIDS |
| 𝒯 | Individuals treated with HIV/AIDS |
| Parameters | Meanings |
|---|---|
| π | Portion of recruitment individuals entered to HIV/AIDS protected class |
| Δ | Recruitment rate of human being |
| α | Loose of immunity |
| μ | Natural death rate |
| d | Death rate due HIV/AIDS |
| γ | HIV/AIDS infection treatment rate |
Table 3
Forward normalized sensitivity indices.
| Parameters | Indices |
|---|---|
| β | +1 |
| α | +0.12603 |
| π | −1.1703 |
| μ | −0.085673 |
| d | −0.38525 |
| γ | −0.20492 |
Fig. 1
PRCC sensitivity indices of model parameters on ℛ0.
Fig. 2
Solutions behavior of model (2) at ℛ0 < 1.
Fig. 3
Solutions behavior of model (2) at ℛ0 > 1.
Fig. 4
Susceptible individuals
Fig. 5
Protected individuals
Fig. 6
Infected individuals
Fig. 7
Treated individuals
Fig. 8
Transmission rate against HIV/AIDS infected individuals.
Fig. 9
Treatment rate against HIV/AIDS infected individuals.