scholarly journals Optimal control of viral infection model with saturated infection rate

2019 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Jaouad Danane ◽  
Keyword(s):  
Optimal Control ◽  
Viral Infection ◽  
Infection Rate ◽  
Infection Model ◽  
Viral Infection Model

scholarly journals A Viral Infection Model with a Nonlinear Infection Rate

2009 ◽  
Vol 2009 ◽  
pp. 1-19 ◽  
Author(s):  
Yumei Yu ◽  
Juan J. Nieto ◽  
Angela Torres ◽  
Kaifa Wang
Keyword(s):  
Viral Infection ◽  
Infection Rate ◽  
Infection Model ◽  
Viral Infection Model

scholarly journals Global Dynamics and Optimal Control of a Viral Infection Model with Generic Nonlinear Infection Rate

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Chenquan Gan ◽  
Maobin Yang ◽  
Zufan Zhang ◽  
Wanping Liu
Keyword(s):  
Optimal Control ◽  
Infection Rate ◽  
Computer Virus ◽  
Infection Model ◽  
Global Dynamics ◽  
Viral Spread ◽  
Storage Media ◽  
Combined Impact ◽  
Viral Infection Model ◽  
Main Model

This paper is devoted to exploring the combined impact of a generic nonlinear infection rate and infected removable storage media on viral spread. For that purpose, a novel dynamical model with an external compartment is proposed, and the explanations of the main model assumptions (especially the generic nonlinear infection rate) are also examined. The existence and global stability of the unique equilibrium of the model are fully investigated, from which it can be seen that computer virus would persist. On this basis, a next-best approach to controlling the level of infected computers is suggested, and the theoretical analysis of optimal control of the model is also performed. Additionally, some numerical examples are given to illustrate the main results.

scholarly journals Analysis of a CD4$^+$ T cell viral infection model with a class of saturated infection rate

2014 ◽  
Vol 19 (3) ◽  
pp. 735-745 ◽  
Author(s):  
Zhixing Hu ◽  
◽  
Weijuan Pang ◽  
Fucheng Liao ◽  
Wanbiao Ma ◽  
...  
Keyword(s):  
T Cell ◽  
Viral Infection ◽  
Infection Rate ◽  
Cd4 T Cell ◽  
Infection Model ◽  
Viral Infection Model
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