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Theory and Modern Applications

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