Modeling Illicit Drug Use Dynamics and Its Optimal Control Analysis

Table 2

Model parameters and their baseline values obtained after fitting data in Appendix A.

Parameter definition	Symbol	Range	Baseline value	Units
Recovery rate		0.1–0.9	0.3	Per year
Recruitment rate		0.02–0.03	0.02	Per year
Modification factor		1–1.85	1.25	—
Transmission rate		0.31–0.36	0.35	Per year
Detection rate for light drug users		0.01–0.14	0.1	Per year
Detection rate for heavy drug users		0.13–0.78	0.35	Per year
Detection rate for mentally ill population		0.54–0.85	0.6	Per year
Escalation of a light user to a heavy user		0.01–0.75	0.01	Per year
Drug use-related death for light drug users		0.01–0.05	0.035	Per year
Drug use-related death for heavy drug users		0.1–0.18	0.14	Per year
Drug use-related death for mentally ill population		0.077–0.23	0.2	Per year
Proportion of light users who develop mental illness		0.10–0.33	0.05	Per year
Proportion of heavy users who develop mental illness		0.08–0.09	0.09	Per year