Modeling the Effect of External Computers and Removable Devices on a Computer Network with Heterogeneous Immunity
This paper intends to investigate the impact of external computers and removable devices on virus spread in a network with heterogeneous immunity. For that purpose, a new dynamical model is presented and discussed. Theoretical analysis reveals the existence of a unique viral equilibrium that is loca...
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Format: | Article |
Language: | English |
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Wiley
2021-01-01
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Series: | International Journal of Differential Equations |
Online Access: | http://dx.doi.org/10.1155/2021/6694098 |
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author | Walaa S. Bahashwan Salma M. Al-Tuwairqi |
author_facet | Walaa S. Bahashwan Salma M. Al-Tuwairqi |
author_sort | Walaa S. Bahashwan |
collection | DOAJ |
description | This paper intends to investigate the impact of external computers and removable devices on virus spread in a network with heterogeneous immunity. For that purpose, a new dynamical model is presented and discussed. Theoretical analysis reveals the existence of a unique viral equilibrium that is locally and globally asymptotically stable with no criteria. This result implies that efforts to eliminate viruses are not possible. Therefore, sensitivity analysis is performed to have more insight into parameters’ impact on virus prevalence. As a result, strategies are suggested to contain virus spread to an acceptable level. Finally, to rationalize the analytical results, we execute some numerical simulations. |
format | Article |
id | doaj-art-ab81af8367394b25bc7e8d1a4794b2cd |
institution | Kabale University |
issn | 1687-9643 1687-9651 |
language | English |
publishDate | 2021-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Differential Equations |
spelling | doaj-art-ab81af8367394b25bc7e8d1a4794b2cd2025-02-03T06:43:33ZengWileyInternational Journal of Differential Equations1687-96431687-96512021-01-01202110.1155/2021/66940986694098Modeling the Effect of External Computers and Removable Devices on a Computer Network with Heterogeneous ImmunityWalaa S. Bahashwan0Salma M. Al-Tuwairqi1Department of Mathematics, King Abdulaziz University, Jeddah, Saudi ArabiaDepartment of Mathematics, King Abdulaziz University, Jeddah, Saudi ArabiaThis paper intends to investigate the impact of external computers and removable devices on virus spread in a network with heterogeneous immunity. For that purpose, a new dynamical model is presented and discussed. Theoretical analysis reveals the existence of a unique viral equilibrium that is locally and globally asymptotically stable with no criteria. This result implies that efforts to eliminate viruses are not possible. Therefore, sensitivity analysis is performed to have more insight into parameters’ impact on virus prevalence. As a result, strategies are suggested to contain virus spread to an acceptable level. Finally, to rationalize the analytical results, we execute some numerical simulations.http://dx.doi.org/10.1155/2021/6694098 |
spellingShingle | Walaa S. Bahashwan Salma M. Al-Tuwairqi Modeling the Effect of External Computers and Removable Devices on a Computer Network with Heterogeneous Immunity International Journal of Differential Equations |
title | Modeling the Effect of External Computers and Removable Devices on a Computer Network with Heterogeneous Immunity |
title_full | Modeling the Effect of External Computers and Removable Devices on a Computer Network with Heterogeneous Immunity |
title_fullStr | Modeling the Effect of External Computers and Removable Devices on a Computer Network with Heterogeneous Immunity |
title_full_unstemmed | Modeling the Effect of External Computers and Removable Devices on a Computer Network with Heterogeneous Immunity |
title_short | Modeling the Effect of External Computers and Removable Devices on a Computer Network with Heterogeneous Immunity |
title_sort | modeling the effect of external computers and removable devices on a computer network with heterogeneous immunity |
url | http://dx.doi.org/10.1155/2021/6694098 |
work_keys_str_mv | AT walaasbahashwan modelingtheeffectofexternalcomputersandremovabledevicesonacomputernetworkwithheterogeneousimmunity AT salmamaltuwairqi modelingtheeffectofexternalcomputersandremovabledevicesonacomputernetworkwithheterogeneousimmunity |