A Discrete Mathematical Modeling and Optimal Control of the Rumor Propagation in Online Social Network

Table 1

Rumor model parameters and values.

Parameter	Description	Value
	The proportion of ignorants who become the spreader after discussing with a spreader	(0.0005/day)
	The proportion of ignorants who become the spreader after consulting a page of rumor	(0.0007/day)
	The proportion of the ignorant who become the spreader	(0.65/day)
	The proportion of the ignorant who become the stifler	(0.35/day)
	New users and deactivated users	0.0008/day
	The proportion of spreaders who become stiflers	(0.002/day)
	The proportion of spreaders who become stiflers after contacting another spreader	(0.00005/day)
	The rate of shared publications of a rumor page by ignorants	(0.000005/day)
	The rate of shared publications of a rumor page by spreaders	0.00001/day
	New rumor pages created by spreaders	0.04/day