Document Details

Document Type : Thesis 
Document Title :
STABILITY OF VIRUS DYNAMICS MODELS WITH CELLULAR INFECTION AND IMMUNE IMPAIRMENT
استقرارنماذج ديناميكا الفيروس مع الاصابة الخلوية و ضعف المناعة
 
Subject : Faculty of Sciences 
Document Language : Arabic 
Abstract : Viral and cellular infections play an important role in spreading the pathogen in the human body. In this thesis, we use ordinary differential equations (ODEs) and delay differential equations (DDEs) to propose and analyze pathogen dynamics models with viral and cellular infections and immune impairment. This study was carried out by the following: (i) We have considered two forms of pathogen-susceptible and infected-susceptible incidence, bilinear andsaturation. (ii) We have considered two types of infected cells, latently infected cells which contain the pathogens but not produce it and actively infected cells which produce the pathogens. (iii) We have incorporated two types of discrete time delays to describe the time lay between the moment when the pathogen or infected cell contacts a susceptible cell and the moment of producing new active pathogens. In these proposed models, we first have shown that the model is biologically acceptable. The solutions' properties of models such as nonnegativity and boundedness have been studied. Further, we have derived the threshold parameters that completely determine the existence and stability behavior of the steady states. The global stability of the models has been investigated by constructing suitable Lyapunov functions and using LaSalle's invariance principle. We have confirmed the theoretical results by numerical simulations using Matlab. The outcomes of this dissertation are published in ISI International Journals. 
Supervisor : Prof. Ahmed Mohamed Elaiw 
Thesis Type : Master Thesis 
Publishing Year : 1439 AH
2018 AD 
Added Date : Wednesday, May 30, 2018 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
بدرية سليم العوفيAlofi, Badriah SaleemResearcherMaster 

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