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Deanship of Graduate Studies
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 Type
Dr Grade
Email
ريم علي العمودي
Al-Amoudi, Reem Ali
Researcher
Master
Files
File Name
Type
Description
36515.pdf
pdf
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