Optimal Control of HIV/AIDS in the Workplace in the Presence of Careless Individuals

Table 1

Model parameter descriptions and values used for simulations.

Parameter	Parameter description	Value	Reference
𝑄	Rate of recruitment	100 People (Year)^−1
𝜋	Fraction of subpopulations recruited	0.04
𝛼𝑝	Rate at which Careless-Productive Susceptibles become Careful	0.4 (Year)^−1
𝛼𝑛	Rate at which Careless-Non-Productive Susceptibles become Careful	0.3 (Year)^−1
𝜃𝑝	Rate at which Careless-Productive Infectives become Careful	0.6 (Year)^−1
𝜃𝑛	Rate at which Careless-Non-Productive Infectives become Careful	0.5 (Year)^−1
𝜌1	Rate at which Careful-Non-Productive Susceptibles become Productive.	0.6 (Year)^−1
𝜌2	Rate at which Careless-Non-Productive Susceptibles become Productive.	0.4 (Year)^−1
𝜎1	Rate at which Careful-Productive Infectives lose their Productivity.	0.4 (Year)^−1
𝜎2	Rate at which Careless-Productive Infectives lose their Productivity	0.6 (Year)^−1
𝛽	Contact rate between susceptibles and infectives	0.344 (People)^−1	[4]
𝜏	Modification parameter due to careless behavior towards sex	1.2
𝛿1	Rate of progression of Productive Infectives into AIDs	0.100 (Year)^−1	[4]
𝛿2	Rate of progression of Nonproductive Infective into AIDs	0.100 (Year)^−1	[4]
𝛿3	Rate of progression of Productive Infective into AIDs	0.100 (Year)^−1	[4]
𝛿4	Rate of progression of Productive Infective into AIDs	0.100 (Year)^−1	[4]
𝜇	Natural Death rate	0.020 (Year)^−1	[4]
𝜓	AIDs related death rate	1.000 (Year)^−1	[4]