Global analysis of an infection age model with a class of nonlinear incidence rates

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

An Analysis of A Fishing Model with Nonlinear Harvesting Function

In this study, considering the importance of how to exploit renewable natural resources, we analyzea shing model with nonlinear harvesting function in which the players at the equilibrium pointdo a static game with complete information that, according to the calculations, will cause a wasteof energy for both players and so the selection of cooperative strategies along with the...

متن کامل

Global stability of SIRS epidemic models with a class of nonlinear incidence rates and distributed delays

In this article, we establish the global asymptotic stability of a disease-free equilibrium and an endemic equilibrium of an SIRS epidemic model with a class of nonlinear incidence rates and distributed delays. By using strict monotonicity of the incidence function and constructing a Lyapunov functional, we obtain sufficient conditions under which the endemic equilibrium is globally asymptotica...

متن کامل

Global stability for a delayed HIV-1 infection model with nonlinear incidence of infection

Keywords: Time delay Global stability Lyapunov functional Nonlinear incidence a b s t r a c t In this paper, a delayed HIV-1 infection model with nonlinear incidence of infection is reinvestigated. It is shown that if the reproduction number R > 1, then the system is permanent , and the infective equilibrium of the system is globally asymptotically stable. Thus, the global dynamics of the syste...

متن کامل

Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates

We analyze stability of equilibria for a delayed SIR epidemic model, in which population growth is subject to logistic growth in absence of disease, with a nonlinear incidence rate satisfying suitable monotonicity conditions. The model admits a unique endemic equilibrium if and only if the basic reproduction number R0 exceeds one, while the trivial equilibrium and the disease-free equilibrium a...

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: Journal of Mathematical Analysis and Applications

سال: 2016

ISSN: 0022-247X

DOI: 10.1016/j.jmaa.2015.09.066