Document Details

Document Type : Thesis 
Document Title :
GLOBAL STABILITY OF SOME VIRUS AND PARASITE DYNAMICS MODELS WITH DIFFUSION
الاستقرار الشمولي لبعض نماذج ديناميكا الفيروسات والطفيليات مع الانتشار
 
Subject : faculty of science 
Document Language : Arabic 
Abstract : Human immunodeficiency virus (HIV) is a retrovirus that mainly targets CD4+ T cells, which are crucial in regulating the response of the immune system, and causes acquired immunodeficiency syndrome (AIDS). Hepatitis B virus (HBV) is a hepadnavirus that targets the liver cells and causes liver cirrhosis. Oncolytic virotherapy is an experimental cancer treatment that uses oncolytic viruses to kill cancer cells without harming normal cells. Malaria is an infectious disease caused by a parasite. HIV infection, HBV infection, cancer, and malaria are responsible for millions of infections and deaths around the world. As diffusion is an inherent feature of biological systems, this thesis investigates several reaction-diffusion models for HIV, HBV, oncolytic virotherapy, and malaria. These models consist of partial differential equations with suitable initial and boundary conditions. Some of these models are extended to include the effect of time delays or medical treatments. All models are analyzed by (i) studying the basic properties of the models including the existence, non-negativity, and boundedness of solutions; (ii) computing all equilibrium points and determining their existence conditions; (iii) proving the global stability of the equilibrium points by constructing suitable Lyapunov functionals; (iv) carrying out some numerical simulations to illustrate the obtained theoretical results and draw some important conclusions. 
Supervisor : Prof. Ahmed Mohamed Elaiw 
Thesis Type : Doctorate Thesis 
Publishing Year : 1441 AH
2020 AD 
Co-Supervisor : Dr. Aatef Hobiny 
Added Date : Monday, June 22, 2020 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
أفنان ذياب الأغاAl Agha, Afnan DiyabResearcherDoctorate 

Files

File NameTypeDescription
 46456.pdf pdf 

Back To Researches Page