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تجزیه و تحلیل معادلات دیفرانسیل مدل های درون - میزبان مالاریا با فاکتورهای ایمنی
گازری، فرشته Gazori, Fereshteh
Analysis of Differential Equations Coming from Within-hosts Models of Malaria with Immune Effectors
Gazori, Fereshteh | 2013
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- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 44770 (02)
- University: Sharif University of Technology
- Department: Mathematical Sciences
- Advisor(s): Hesaaraki, Mahmoud
- Abstract:
- In this thesis, a complete analysis of a general within-host models of malaria is done. This model generalizes the models in epidemiological literature. In this study, we propose another equation for immune effectors reaction. In this thesis, we find out that the global stability of disease free equilibrium is obtained when the reproduction number R0 < 1. When R0 ≥ 1, at least one endemic equilibrium exists. The local and global asymptotic stability is investigated. Finally, numerical simulations are done to illustrate the influence of immune effectors reaction
- Keywords:
- Safety Factors ; Lyapunov Function ; Global Stability ; Nonlinear Dynamical System ; Within-Host Malaria Model ; Basic Reproduction Number
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