Theory and Modern Applications
Table 1 List of parameters used for system (1)
Parameter | Definition | Value/year | References |
|---|---|---|---|
Π | Constant recruitment rate in the susceptible population | 15 | [6] |
β | Contact rate between susceptible and infected individuals | 0.002–0.2 | [6] |
\(\lambda _{1}\) | Modification factor | 0.01 | Estimated |
\(\lambda _{2}\) | Modification factor | 0.01–0.8 | Estimated |
μ | The proportionality constant which governs the implementation of awareness programs | 0.025 | [9] |
d | Natural death rate of susceptible | 0.01–0.025 | |
\(d_{I}\) | Natural death rate of infected individuals | 0.005–0.01 | [9] |
c | Transfer rate of susceptible from unaware to aware class | 0.00002–0.02 | [9] |
ω | Transfer rate from aware susceptible to unaware susceptible class | 0.4 | |
ρ | The proportion of diagnosed individuals who have not yet developed to AIDS | 0.75 | Estimated |
δ | Diagnosis rate | 0.304 | [9] |
\(\alpha _{I}\) | Additional death rates for the diagnosed HIV-positive individuals | 0.0172 | [6] |
\(\alpha _{A}\) | Additional death rates for those who are AIDS infected | 0.0138 | [6] |
\(\mu _{0}\) | Depletion rate of ineffective media programs | 0.06 | [9] |
ξ | Rate of progression from HIV diagnosis to the AIDS class | 0.4 | Estimated |
η | Effectiveness of the drug input | 0.6 | Estimated |
\(u_{1}\), \(u_{2}\) | Control variables | 0.0–1.0 | Estimated |