scholarly journals Global analysis for delay virus dynamics model with Beddington–DeAngelis functional response

2011 ◽  
Vol 24 (7) ◽  
pp. 1199-1203 ◽  
Author(s):  
Gang Huang ◽  
Wanbiao Ma ◽  
Yasuhiro Takeuchi
Keyword(s):  
Functional Response ◽  
Global Analysis ◽  
Virus Dynamics ◽  
Dynamics Model

Global analysis of virus dynamics model with logistic mitosis, cure rate and delay in virus production

2014 ◽  
Vol 38 (4) ◽  
pp. 646-664 ◽  
Author(s):  
Cruz Vargas-De-León ◽  
Noé Chan Chí ◽  
Eric Ávila Vales
Keyword(s):  
Global Analysis ◽  
Virus Production ◽  
Virus Dynamics ◽  
Cure Rate ◽  
Dynamics Model

scholarly journals Stability of the virus dynamics model with Beddington–DeAngelis functional response and delays

2013 ◽  
Vol 37 (7) ◽  
pp. 5414-5423 ◽  
Author(s):  
Hong Xiang ◽  
Li-Xiang Feng ◽  
Hai-Feng Huo
Keyword(s):  
Functional Response ◽  
Virus Dynamics ◽  
Dynamics Model

scholarly journals Global properties for virus dynamics model with Beddington–DeAngelis functional response

2009 ◽  
Vol 22 (11) ◽  
pp. 1690-1693 ◽  
Author(s):  
Gang Huang ◽  
Wanbiao Ma ◽  
Yasuhiro Takeuchi
Keyword(s):  
Functional Response ◽  
Virus Dynamics ◽  
Dynamics Model ◽  
Global Properties

scholarly journals Global Analysis of a Virus Dynamics Model with General Incidence Function and Cure Rate

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Yu Yang
Keyword(s):  
Reproduction Number ◽  
Global Analysis ◽  
Logistic Function ◽  
Virus Dynamics ◽  
Asymptotically Stable ◽  
Cure Rate ◽  
Dynamics Model ◽  
Globally Asymptotically Stable ◽  
Incidence Function ◽  
Stable Periodic

A virus dynamics model with logistic function, general incidence function, and cure rate is considered. By carrying out mathematical analysis, we show that the infection-free equilibrium is globally asymptotically stable if the basic reproduction numberℛ0≤1. Ifℛ0>1, then the infection equilibrium is globally asymptotically stable under some assumptions. Furthermore, we also obtain the conditions for which the model exists an orbitally asymptotically stable periodic solution. Examples are provided to support our analytical conclusions.

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