Global properties of basic virus dynamics models
نویسندگان
چکیده
منابع مشابه
Global properties of basic virus dynamics models.
Lyapunov functions for basic virus dynamics models are introduced, and global stability of the models are thereby established.
متن کاملGlobal Properties of Virus Dynamics Models with Multitarget Cells and Discrete-Time Delays
We propose a class of virus dynamics models with multitarget cells and multiple intracellular delays and study their global properties. The first model is a 5-dimensional system of nonlinear delay differential equations DDEs that describes the interaction of the virus with two classes of target cells. The second model is a 2n 1 -dimensional system of nonlinear DDEs that describes the dynamics o...
متن کاملGlobal Asymptotic Stability of Equilibria in Models for Virus Dynamics
In this paper several models in virus dynamics with and without immune response are discussed concerning asymptotic behaviour. The case of immobile cells but diffusing viruses and T-cells is included. It is shown that, depending on the value of the basic reproductive number R0 of the virus, the corresponding equilibrium is globally asymptotically stable. If R0 < 1 then the virus-free equilibriu...
متن کاملBasic Properties of Mathematical Population Models
Mathematical population models are constructed based on plausible explicit and implicit biological assumptions. While it is easy to incorporate explicit assumptions correctly in the models, those implicit ones are often ill treated or forgotten. Indeed, this happens to some well known models in the literature and examples of such will be mentioned and discussed. For a model to be logically cred...
متن کاملVirus Dynamics: A Global Analysis
Exploiting the fact that standard models of within-host viral infections of target cell populations by HIV, developed by Perelson and Nelson [SIAM Rev., 41 (1999), pp. 3–44] and Nowak and May [Virus Dynamics, Oxford University Press, New York, 2000], give rise to competitive three dimensional dynamical systems, we provide a global analysis of their dynamics. If the basic reproduction number R0 ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of Mathematical Biology
سال: 2004
ISSN: 0092-8240
DOI: 10.1016/j.bulm.2004.02.001