scholarly journals Global stability analysis of a viral infection model in a critical case

2020 ◽  
Vol 17 (2) ◽  
pp. 1442-1449
Author(s):  
Wei Wang ◽  
◽  
Xiulan Lai ◽  
Keyword(s):  
Stability Analysis ◽  
Viral Infection ◽  
Global Stability ◽  
Critical Case ◽  
Infection Model ◽  
Global Stability Analysis ◽  
Viral Infection Model

Global dynamics of hepatitis C viral infection with logistic proliferation

2016 ◽  
Vol 09 (04) ◽  
pp. 1650056
Author(s):  
Sandip Banerjee ◽  
Ram Keval ◽  
Sunita Gakkhar
Keyword(s):  
Mathematical Model ◽  
Hepatitis C Virus ◽  
Stability Analysis ◽  
Hepatitis C ◽  
Viral Infection ◽  
Global Stability ◽  
Geometric Approach ◽  
Global Dynamics ◽  
Viral Dynamics ◽  
Global Stability Analysis

A modified mathematical model of hepatitis C viral dynamics has been presented in this paper, which is described by four coupled ordinary differential equations. The aim of this paper is to perform global stability analysis using geometric approach to stability, based on the higher-order generalization of Bendixson’s criterion. The result is also supported numerically. An important epidemiological issue of eradicating hepatitis C virus has been addressed through the global stability analysis.

scholarly journals Global Stability for a Viral Infection Model with Saturated Incidence Rate

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
Huaqin Peng ◽  
Zhiming Guo
Keyword(s):  
Viral Infection ◽  
Global Stability ◽  
Incidence Rate ◽  
Sufficient Conditions ◽  
Basic Reproductive Number ◽  
Reproductive Number ◽  
Infection Model ◽  
Saturated Incidence Rate ◽  
Saturated Incidence ◽  
Viral Infection Model

A viral infection model with saturated incidence rate and viral infection with delay is derived and analyzed; the incidence rate is assumed to be a specific nonlinear formβxv/(1+αv). The existence and uniqueness of equilibrium are proved. The basic reproductive numberR0is given. The model is divided into two cases: with or without delay. In each case, by constructing Lyapunov functionals, necessary and sufficient conditions are given to ensure the global stability of the models.

scholarly journals Global stability of a distributed delayed viral model with general incidence rate

2018 ◽  
Vol 16 (1) ◽  
pp. 1374-1389
Author(s):  
Eric Ávila-Vales ◽  
Abraham Canul-Pech ◽  
Erika Rivero-Esquivel
Keyword(s):  
Immune Response ◽  
Viral Infection ◽  
Global Stability ◽  
Numerical Simulations ◽  
Incidence Rate ◽  
Existence And Uniqueness ◽  
Lyapunov Functional ◽  
Infection Model ◽  
General Incidence Rate ◽  
Viral Infection Model

AbstractIn this paper, we discussed a infinitely distributed delayed viral infection model with nonlinear immune response and general incidence rate. We proved the existence and uniqueness of the equilibria. By using the Lyapunov functional and LaSalle invariance principle, we obtained the conditions of global stabilities of the infection-free equilibrium, the immune-exhausted equilibrium and the endemic equilibrium. Numerical simulations are given to verify the analytical results.

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