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Global Stability of Stiers Impact on Meme Transmission Model
Reem Al-Amoudi, Salma Al-Tuwairqi, Sarah Al-Sheikh
Volume 14 Issue 6
Global Journal of Science Frontier Researc
Volume 14 Issue 6
Global Journal of Science Frontier Researc
Spreaders and stiflers play a major role in the persistence or disappearance of memes. In this paper we study the impact of stiflers on the dynamics of memes transmission. We introduce and analyze qualitatively a mathematical model considering stiflers effect. Three equilibrium points of the model are examined: meme free equilibrium, meme cessation equilibrium and meme existence equilibrium. The reproduction number R 0 that generates new memes is found. Local and global stability of the equilibrium points are explored. Finally, we support our results using numerical simulations.
