Document Details

Document Type : Thesis 
Document Title :
Mathematical modeling and analysis of Chikungunya virus dynamics with immune response
النمذجة الرياضية والتحليل لديناميكية فيروس شيكنقونيا مع الاستجابة المناعية
 
Subject : Faculty of Science 
Document Language : Arabic 
Abstract : In this thesis, we propose and analyze a class of within-host Chikungunya virus (CHIKV) infection models with antibody immune response. These models are given by either system of ordinary differential equations (ODEs) or by system of delay differential equations (DDEs). We carry out the following: (i) We consider different forms of incidence rate of infection such as saturated incidence, Beddington-DeAngelis incidence and general incidence. (ii) Actually, there exists a latent period between the moment when the CHIKV contacts the uninfected cells and the moment when the infected cells become active to produce infectious CHIKV particles. We incorporate this latent period into the models by two methods, the first method is to add another state variable to the models which represents the population of the latently infected cells (which contains the CHIKV but not producing it), the second method is to present the CHIKV infection models as a system of delay differential equations (DDEs). The time delay is given by discrete time or distributed. We show that the delay plays the same role of antiviral treatment. (iii) Since the immune response plays an important role in controlling the CHIKV infection, therefore, we consider the adaptive immune response (CTL immune response and antibody immune response). (iv) Since the CHIKV attacks many types of target cells, therefore we assume that the CHIKV infects n classes of target cells (i.e multitarget cells). For all models, we show that our models are biologically feasible. We study the nonnegativity and boundedness of the solutions of those models. Further, we derive the threshold parameter, that is the basic reproduction number R0; which determines the existence and stability behavior of the steady states of the models. We establish a set of conditions on the general functions which are sufficient to prove the existence and global stability of the steady states of the models. The global stability of the models is established by constructing suitable Lyapunov functionals and applying LaSalle's invariance principle. We prove that if R0 < 1, then the CHIKV-free steady state is globally asymptotically stable (GAS), and if R0 > 1, then the endemic steady state exists and it is GAS. We present some examples and perform numerical simulations in order to illustrate the dynamical behavior. We show that numerical results are consistent with the theoretical results. More accurate treatments can be designed from the results of our proposed models. The outcomes of this thesis are published in several ISI International Journals. 
Supervisor : Prof. Ahmed Mohamed Elaiw 
Thesis Type : Doctorate Thesis 
Publishing Year : 1441 AH
2019 AD 
Co-Supervisor : Prof. Saud Mastour Alsulami 
Added Date : Thursday, September 19, 2019 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
توفيق اولانريوجو الاديAlade, Taofeek OlanrewajuResearcherDoctorate 

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