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

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

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 ge...

Full description

Bibliographic Details
Main Authors: Chenquan Gan, Maobin Yang, Zufan Zhang, Wanping Liu
Format: Article
Language:English
Published: Hindawi Limited 2017-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2017/7571017
id doaj-51c2a1c5c5be4fa9ae94a80fdd43caaa
record_format Article
spelling doaj-51c2a1c5c5be4fa9ae94a80fdd43caaa2020-11-24T20:51:53ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2017-01-01201710.1155/2017/75710177571017Global Dynamics and Optimal Control of a Viral Infection Model with Generic Nonlinear Infection RateChenquan Gan0Maobin Yang1Zufan Zhang2Wanping Liu3School of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaSchool of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaSchool of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaSchool of Communication and Information Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, ChinaThis 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.http://dx.doi.org/10.1155/2017/7571017
collection DOAJ
language English
format Article
sources DOAJ
author Chenquan Gan
Maobin Yang
Zufan Zhang
Wanping Liu
spellingShingle Chenquan Gan
Maobin Yang
Zufan Zhang
Wanping Liu
Global Dynamics and Optimal Control of a Viral Infection Model with Generic Nonlinear Infection Rate
Discrete Dynamics in Nature and Society
author_facet Chenquan Gan
Maobin Yang
Zufan Zhang
Wanping Liu
author_sort Chenquan Gan
title Global Dynamics and Optimal Control of a Viral Infection Model with Generic Nonlinear Infection Rate
title_short Global Dynamics and Optimal Control of a Viral Infection Model with Generic Nonlinear Infection Rate
title_full Global Dynamics and Optimal Control of a Viral Infection Model with Generic Nonlinear Infection Rate
title_fullStr Global Dynamics and Optimal Control of a Viral Infection Model with Generic Nonlinear Infection Rate
title_full_unstemmed Global Dynamics and Optimal Control of a Viral Infection Model with Generic Nonlinear Infection Rate
title_sort global dynamics and optimal control of a viral infection model with generic nonlinear infection rate
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2017-01-01
description 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.
url http://dx.doi.org/10.1155/2017/7571017
work_keys_str_mv AT chenquangan globaldynamicsandoptimalcontrolofaviralinfectionmodelwithgenericnonlinearinfectionrate
AT maobinyang globaldynamicsandoptimalcontrolofaviralinfectionmodelwithgenericnonlinearinfectionrate
AT zufanzhang globaldynamicsandoptimalcontrolofaviralinfectionmodelwithgenericnonlinearinfectionrate
AT wanpingliu globaldynamicsandoptimalcontrolofaviralinfectionmodelwithgenericnonlinearinfectionrate
_version_ 1716800941044269056

Similar Items