Document Details

Document Type : Thesis 
Document Title :
GLOBAL DYNAMICS OF SOME MATHEMATICAL MODELS OF SMOKING
التصرف الديناميكي الشامل لبعض نماذج الرياضية في التدخين
 
Subject : mathematics department 
Document Language : Arabic 
Abstract : A mathematical model is a description of a system using mathematical concepts and language. The analysis of such mathematical models may help to explain a system and to study the effects of different components. It also helps to understand the dynamical predictions about the system's behavior. Mathematical models are becoming an indispensable tool in studying biological, physiological processes and spread of diseases and habits in the societies. In this thesis, we study the smoking dynamics, which is a large problem in the entire world. Despite overwhelming facts about the risks, it is still a bad habit widely spread. Smoking dynamics is an interesting area to study in order to develop effective strategies for controlling and combating this habit. We derive and analyze new mathematical models of smoking that are based on previous models in which the population is divided into four classes: potential smokers, smokers, temporarily quitters and permanent quitters. Analysis of these models include finding their equilibria, one of them is the smoking-free equilibrium and another important one corresponds to the presence of smoking, and other equilibria may also exist. Stability results for the models about these points are found by using stability theory for nonlinear differential equations. Finally, we support our results by using some numerical simulations. 
Supervisor : Dr. Sarah A. Al-Sheikh 
Thesis Type : Master Thesis 
Publishing Year : 1434 AH
2013 AD 
Co-Supervisor : Dr. Salma M. Al-tuwairqi 
Added Date : Tuesday, June 18, 2013 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
زينب يحيى الخضريAl-khudhari, Zainab YahyaResearcherMaster 

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