Modeling a Rumor Propagation in Online Social Network: An Optimal Control Approach

Table 1

Rumor model parameters and values.

Parameter	Description	Value
	The proportion of ignorants who become spreaders after discussing with a spreader	(0.05/day)
	The proportion of ignorants who become spreaders after consulting a page of rumor	(0.07/day)
	The proportion of ignorants who become spreaders	(0.85/day)
	The proportion of ignorants who become stiflers	(0.15/day)
	New users and deactivated users	0.08
	The proportion of spreaders who become stiflers	(0.2/day)
	The proportion of spreaders who become stiflers after contacting another spreader	(0.005/day)
	The rate of shared publications of rumor page by ignorants	(0.05/day)
	The rate of shared publications of rumor page by spreaders	0.1/day
	New rumor pages created by spreaders	0.4/day