Stability Analysis of a Reaction-Diffusion Heroin Epidemic Model

Table 1

Description of parameters.

Parameter	Description	Data estimated	Data sources
	Number of susceptible people at location and time
	Number of heroin users at location and time
	Number of heroin users undergoing treatment at location and time
	Number of people who have used drugs at location and time
	Number of people who never use drugs at location and time
	Recruitment rate of the population	1	[39]
	Natural death rate	0.02	[40]
	Addition rate from to abusers	Variable
	The proportion of failure treatment	0.0011	[40]
	The heroin-related death rate of	0.01	Estimate
	The heroin-related death rate of being treated	0.005	Estimate
	Progression rate to from	0.0095	[40]
	The proportion of successful treatment	Variable
	Addition rate from to abusers	Variable
	The permanent withdrawal rate from to	Variable	Estimate
	The permanent withdrawal rate from to	0.0001	Estimate