Dynamical Behaviors of Rumor Spreading Model with Control Measures

Table 1

Description of parameters in the system (1).

Parameters	Value	Unit	Comments
𝐴	16000000/365	Day^−1	The birth rate of human
𝛽	50×0.005/1350000000	Day^−1	S(t)-to-I(t) transmission rate
𝛼	10^−10	Day^−1	W(t)-to-I(t) transmission rate
𝑑	1/60/365	Day^−1	The natural mortality rate of human
𝜃	0.5	None	The rate of being 𝑆(𝑡) after transmission
𝑚	0.0001	Day^−1	The transformation rate of 𝑆(𝑡) into 𝑅(𝑡)
𝑘	1	Day^−1	The submerged rate of message
𝜆	300×0.00001	Day^−1	The disseminating quantity of messages per spreader
𝜉1	50×0.0001/1350000000	Day^−1	The transformation rate to 𝑅(𝑡)
𝜉2	50×0.0001/1350000000	Day^−1	R(t)-to-S(t) transmission rate
𝐼(0)	1350000000−1000000	Individual	The initial number of the susceptible individuals
𝑆(0)	1000000	Individual	The initial number of the spreaders
𝑅(0)	0	Individual	The initial number of the stiflers
𝑊(0)	0	Individual	The initial quantity of messages by spreader