Global dynamics for a class of infection-age model with nonlinear incidence

In this paper, we propose an HBV viral infection model with continuous age structure and nonlinear incidence rate. Asymptotic smoothness of the semi-flow generated by the model is studied. Then we caculate the basic reproduction number and prove that it is a sharp threshold determining whether the infection dies out or not. We give a rigorous mathematical analysis on uniform persistence by reformulating the system as a system of Volterra integral equations. The global dynamics of the model is established by using suitable Lyapunov functionals and LaSalle's invariance principle. We further investigate the global behaviors of the HBV viral infection model with saturation incidence through numerical simulations.

Download Full-text

A non-standard finite difference scheme for a delayed and diffusive viral infection model with general nonlinear incidence rate

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.06.041 ◽

2017 ◽

Vol 74 (8) ◽

pp. 1782-1798 ◽

Cited By ~ 10

Author(s):

Jinhu Xu ◽

Yan Geng ◽

Jiangyong Hou

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Viral Infection ◽

Incidence Rate ◽

Finite Difference Scheme ◽

Infection Model ◽

Nonlinear Incidence Rate ◽

Nonlinear Incidence ◽

Viral Infection Model

Download Full-text

Global dynamics of an age-structured viral infection model with general incidence function and absorption

International Journal of Biomathematics ◽

10.1142/s1793524518500651 ◽

2018 ◽

Vol 11 (05) ◽

pp. 1850065 ◽

Cited By ~ 4

Author(s):

Khalid Hattaf ◽

Yu Yang

Keyword(s):

Viral Infection ◽

Infection Model ◽

Uniform Persistence ◽

Global Dynamics ◽

Incidence Function ◽

Proposed Model ◽

Viral Particles ◽

Age Structured ◽

Well Posed ◽

Viral Infection Model

In this paper, we propose an age-structured viral infection model with general incidence function that takes account of the loss of viral particles due to their absorption into susceptible cells. The proposed model is described by partial differential and ordinary differential equations. We first show that the model is mathematically and biologically well-posed. Furthermore, the uniform persistence and the global behavior of the model are investigated. Moreover, the age-structured models and results presented in many previous studies are improved and generalized.

Download Full-text

Stability analysis for delayed viral infection model with multitarget cells and general incidence rate

International Journal of Biomathematics ◽

10.1142/s1793524516500078 ◽

2015 ◽

Vol 09 (01) ◽

pp. 1650007 ◽

Cited By ~ 1

Author(s):

Jinliang Wang ◽

Xinxin Tian ◽

Xia Wang

Keyword(s):

Viral Infection ◽

Incidence Rate ◽

Time Delays ◽

Infection Model ◽

Target Cells ◽

Uniform Persistence ◽

Nonlinear Incidence Rate ◽

General Incidence Rate ◽

Infected Cells ◽

Viral Infection Model

In this paper, the sharp threshold properties of a (2n + 1)-dimensional delayed viral infection model are investigated. This model combines with n classes of uninfected target cells, n classes of infected cells and nonlinear incidence rate h(x, v). Two kinds of distributed time delays are incorporated into the model to describe the time needed for infection of uninfected target cells and virus replication. Under certain conditions, it is shown that the basic reproduction number is a threshold parameter for the existence of the equilibria, uniform persistence, as well as for global stability of the equilibria of the model.

Download Full-text