Global Stability of Stiers Impact on Meme Transmission Model

Global Stability of Stiers Impact on Meme Transmission Model

Article ID

24MCV

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Global Stability of Stiers Impact on Meme Transmission Model

Reem Al-Amoudi

Salma Al-Tuwairqi King Abdulaziz university

Sarah Al-Sheikh

DOI

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Abstract

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.

Global Stability of Stiers Impact on Meme Transmission Model

Authors

Reem Al-Amoudi

Salma Al-Tuwairqi King Abdulaziz university

Sarah Al-Sheikh

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How to Cite

Salma Al-Tuwairqi. 2014. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F6): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

GJSFR Volume 14 Issue F6
Pg. 9- 16

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Submission Received August 26, 2014
Accepted September 22, 2014
Published October 3, 2014

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Article Matrices

Total Score: 123

Country: Saudi Arabia

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Reem Al-Amoudi, Salma Al-Tuwairqi, Sarah Al-Sheikh (PhD/Dr. count: 0)

View Count (all-time): 95

Total Views (Real + Logic): 4381

Total Downloads (simulated): 2290

Publish Date: 2014 10, Wed

Monthly Totals (Real + Logic):

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Total Views: 4381

Total Downloads: 2290

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