Stability of a general delay-distributed virus dynamics model with multi-staged infected progression and immune response
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- 作者：A. M. Elaiw and N. H. AlShamrani
- 刊名：Mathematical Methods in the Applied Sciences
- 出版年：2017
- 出版时间：February 2017
- 年：2017
- 卷：40
- 期：3
- 页码：699-719
- 全文大小：1170K
- ISSN：1099-1476
文摘
In this paper, we formulate a (n + 3)-dimensional nonlinear virus dynamics model that considers n-stages of the infected cells and n + 1 distributed time delays. The model incorporates humoral immune response and general nonlinear forms for the incidence rate of infection, the generation and removal rates of the cells and viruses. Under a set of conditions on the general functions, the basic infection reproduction number and the humoral immune response activation number are derived. Utilizing Lyapunov functionals and LaSalle's invariance principle, the global asymptotic stability of all steady states of the model are proven. Numerical simulations are carried out to confirm the theoretical results. Copyright