Dynamical Model about Rumor Spreading with Medium

Table 1

Description of parameters in the model (5).

Parameters	Value	Unit	Comments
𝛽	10	Day^−1	𝑆(𝑡)-to-𝐼(𝑡) transmission rate.
𝛼	0.00001	Day^−1	𝑊(𝑡)-to-𝐼(𝑡) transmission rate.
𝜃	0.5	None	The rate of being 𝑆(𝑡) after transmission.
𝑚	0.1	Day^−1	The automatical transformation rate of 𝑆(𝑡) into 𝑅(𝑡).
𝑘	2	Day^−1	The submerged rate of message.
𝜆	5	Day^−1	The discharge quantity of message into medium.
𝜉1	15	Day^−1	𝑆(𝑡)-to-𝑆(𝑡) transmission rate.
𝜉2	15	Day^−1	𝑅(𝑡)-to-𝑆(𝑡) transmission rate.
𝐼(0)	5000000	Individual	The initial number of the susceptible individual.
𝑆(0)	10	Individual	The initial number of the spreader.
𝑅(0)	0	Individual	The initial number of the stifler.
𝑊(0)	0	Individual	The initial quantity of message.