Global dynamics for viral infection model with Beddington-DeAngelis functional response and an eclipse stage of infected cells

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Global analysis for delay virus dynamics model with Beddington-DeAngelis functional response

A class of virus dynamics model with intracellular delay and nonlinear infection rate of Beddington-DeAngelis functional response is analysed in this paper. By constructing suitable Lyapunov functionals and using LaSalle type theorem for delay differential equations, we show that the global stability of the infection-free equilibrium and the infected equilibrium depends on the basic reproductiv...

متن کامل

Global 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 کامل

Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function.

In this paper, we study an age-structured virus dynamics model with Beddington-DeAngelis infection function. An explicit formula for the basic reproductive number R0 of the model is obtained. We investigate the global behavior of the model in terms of R0: if R0 ≤ 1, then the infection-free equilibrium is globally asymptotically stable, whereas if R0 > 1, then the infection equilibrium is global...

متن کامل

Dynamics of a diffusive viral model with Beddington-DeAngelis incidence rate and CTL immune response

In this paper, a four-dimensional system of viral model with cytotoxic lymphocyte (CTL) immune response is investigated. This model is a reaction-diffusion system with Beddington-DeAngelis incidence rate and free diffusion in a bounded domain. With the help of comparison principle and Lyapunov function method, the well-posedness of solutions and sufficient conditions for global stability of non...

متن کامل

Dynamics of a Stochastic Predator -prey Model with the Beddington -deangelis Functional Response

We consider a stochastic predator prey model with the Bedington -DeAngelis functional response. Firstly, we prove the existence, uniqueness and positivity of solutions. Then, the boundedness of moments of population are studied. Finally, we show the weak convergence of densities of prey to a singular measure in a special case, and give some upper growth and exponential death rates of population...

متن کامل

ذخیره 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: Discrete and Continuous Dynamical Systems - Series B

سال: 2015

ISSN: 1531-3492

DOI: 10.3934/dcdsb.2015.20.3215