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Table 1 List of parameters used for system ( 2 )

From: Effect of awareness programs in controlling the disease HIV/AIDS: an optimal control theoretic approach

Parameter Definition Reference Assigned value (day \(^{\boldsymbol {-1}}\) )
Π Constant recruitment rate [15, 18] 12
β Disease transmission rate [18] 0.0025
\(\alpha_{1}\) Contact rate between unaware susceptible with media [16] 0.0002
\(\lambda_{1}\) Transfer rate of people from aware individuals to unaware susceptible class [15, 16, 18] 0.0052
d Natural death rate [6, 16] 0.005
\(\delta_{I}\) Additional death rate due to infection [6] 0.007
\(\alpha_{2}\) Contact rate between unaware infected with media - 0.1
\(\lambda_{2}\) Transfer rate of people from aware individuals to unaware infected class - 0.0015
η Rate of implementation of awareness programs [15] 0.005
\(\eta_{0}\) Depletion rate of awareness program due to ineffectiveness [15] 0.06