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One famous variant is Maki-Thompson(MK) model.<ref>Maki, D.P. 1973 Mathematical Models and Applications, With Emphasis on Social, Life, and Management Sciences, Prentice Hall.</ref> In this model, rumor is spread by directed contacts of the spreaders with others in the population. Furthermore, when a spreader contacts another spreader only the initiating spreader becomes a stifler. Therefore, three types of interactions can happen with certain rates.
{{NumBlk|;|<math>\begin{matrix}{}\\ S+I\xrightarrow{\alpha}
::which says when a spreader meet an ignorant, the ignorant will become a spreader.
{{NumBlk|;|<math>\begin{matrix}{}\\ I+I\xrightarrow{\beta}I+R \\{}\end{matrix}</math>|{{EquationRef|2}}}}
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