Analyzing the Dynamics of a Rumor Transmission Model with Incubation

Table 1

Dimension of parameters and variables used in simulations.

Variable or parameter	Dimension	Implication
𝑥,𝑤,𝑦,𝑧	Dimensionless	Proportional population
𝑋,𝑊,𝑌,𝑍	Hundred thousand Day^−1	Number of Population
Λ	Hundred thousand Day^−1	The number of immigration population
𝛽𝑖0(𝑖=1,2)	Unity Day^−1	Rumor transmission coefficient
𝜆0	Unity Day^−1	Rumor stifler coefficient
𝛼0	Dimensionless	Change rate for exposed
𝛾0	Dimensionless	Change rate for spreaders
𝜃	Dimensionless	Believe and spread rate
𝜇	Dimensionless	The emigration rate
𝑁	Hundred thousand	Total population

Where 𝑥=𝑋/𝑁,𝑦=𝑌/𝑁,𝑧=𝑍/𝑁,𝛽=𝛽₀/𝜇,𝛼=𝛼₀/𝜇,𝜆=𝜆₀/𝜇, and 𝛾=𝛾₀/𝜇.