Global properties of basic virus dynamics models.
نویسنده
چکیده
Lyapunov functions for basic virus dynamics models are introduced, and global stability of the models are thereby established.
منابع مشابه
Mathematical Model for Transmission Dynamics of Hepatitus C Virus with Optimal Control Strategies
An epidemic model with optimal control strategies was investigated for Hepatitus C Viral disease that can be transmitted through infected individuals. In this study, we used a deterministic compartmental model for assessing the effect of different optimal control strategies for controlling the spread of Hepatitus C disease in the community. Stability theory of differential equations is us...
متن کاملStability analysis of the transmission dynamics of an HBV model
Hepatitis B virus (HBV) infection is a major public health problem in the world today. A mathematical model is formulated to describe the spread of hepatitis B, which can be controlled by vaccination as well as treatment. We study the dynamical behavior of the system with fixed control for both vaccination and treatment. The results shows that the dynamics of the model is completely de...
متن کاملThe analysis of a disease-free equilibrium of Hepatitis B model
In this paper we study the dynamics of Hepatitis B virus (HBV) infection under administration of a vaccine and treatment, where the disease is transmitted directly from the parents to the offspring and also through contact with infective individuals. Stability of the disease-free steady state is investigated. The basic reproductive rate, $R_0$, is derived. The results show that the dynamics of...
متن کاملGlobal properties for virus dynamics model with Beddington-DeAngelis functional response
This paper investigates the global stability of virus dynamics model with BeddingtonDeAngelis infection rate. By constructing Lyapunov functions, the global properties have been analyzed. If the basic reproductive ratio of the virus is less than or equal to one, the uninfected steady state is globally asymptotically stable. If the basic reproductive ratio of the virus is more than one, the infe...
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
- Bulletin of mathematical biology
دوره 66 4 شماره
صفحات -
تاریخ انتشار 2004