Optimal Control Problem of Treatment for Obesity in a Closed Population

Table 1

Parameters description and value.

Par.	Description	Value
𝜃	Natural recruitment rate (per day)	1/(65×365)
𝜇	Natural mortality rate (per day)	1/(65×365)
𝑏	Interaction coefficient (per day)	0.1/𝐾
𝛼	Infection rate because bad life habit (per day)	0.05
𝛾	Natural recovery rate from overweight to healthy comp. (per day)	0.05
𝐾	Total of human population (individuals)	1000
𝑝	Portion of health recruitment rate from overweight comp.	0.5
𝑞	Portion of health recruitment rate from obese comp.	0.5
𝑢1	Health life campaign rate (per day)	[0,1]
𝑢2	Treatment rate for obese people (per day)	[0,1]