Document Details

Document Type : Thesis 
Document Title :
QUALITATIVE BEHAVIOR OF SOLUTIONS TO SOME MATHEMATICAL MODELS OF MEMES TRANSMISSION
السلوك النوعي لحلول نماذج رياضية في انتشار الأفكار الثقافية
 
Subject : Faculty of Sciences > mathematics department 
Document Language : Arabic 
Abstract : Mathematical models have been a great tool in describing real world phenomena. It helps to study a system in relation with the effects of different components and to make certain predictions about its behavior. Recently, researchers haveapplied epidemiological models to study the dynamics of social and behavioral processes, based on the fact that both biological diseases and social behavioral are a result from interactions between individuals. The main feature of our study is to understand the dynamics of spreading a meme on a large scale in a short time through a chain of communications. In this thesis we study four meme transmission models, which are extensions of the deterministic Daley.Kendall model [4 ] and we analyze them by using stability theory of non-linear differential equations. The first three models are based on dividing the population into three disjoint classes of individuals according to their reaction to the meme but in the fourth model the population is divided into four disjoint classes of individuals . We examine the existence of equilibria of the four models and investigate their stability using linearization methods and Lyapunov method. One of the significant results of the study is finding conditions that will lead to either the disappearance or the spread of memes. Also numerical simulations are used to support our results. 
Supervisor : Dr. Sarah A. Al-Sheikh. 
Thesis Type : Master Thesis 
Publishing Year : 1435 AH
2014 AD 
Co-Supervisor : Dr. Salma M. Al-Tuwairqi. 
Added Date : Sunday, February 16, 2014 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
ريم علي العموديAl-Amoudi, Reem AliResearcherMaster 

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