Dynamical aspects of a delayed SEI2RS malware dissemination model in cyber–physical systems
In current paper, a delayed SEI2RS malware dissemination model in cyber–physical systems is proposed. Effect of the time delay owning to temporary immunity interval of the recovered nodes is analyzed. A series of sufficient criteria determining local stability of malware-existence equilibrium and oc...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2022-09-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722004971 |
| _version_ | 1828357768493400064 |
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| author | Xiaodong Yu Aying Wan |
| author_facet | Xiaodong Yu Aying Wan |
| author_sort | Xiaodong Yu |
| collection | DOAJ |
| description | In current paper, a delayed SEI2RS malware dissemination model in cyber–physical systems is proposed. Effect of the time delay owning to temporary immunity interval of the recovered nodes is analyzed. A series of sufficient criteria determining local stability of malware-existence equilibrium and occurrence of Hopf bifurcation are revealed via regarding the time delay owning to temporary immunity interval of the recovered nodes as bifurcation parameter. Additionally, direction and stability of the Hopf bifurcation are explored with the aid of the center manifold theorem and normal form theory method. At last, numerical calculations are conducted to prove validity of obtained results. |
| first_indexed | 2024-04-14T03:19:38Z |
| format | Article |
| id | doaj.art-0fc8e2ef88f24861b94b686465ece284 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-14T03:19:38Z |
| publishDate | 2022-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-0fc8e2ef88f24861b94b686465ece2842022-12-22T02:15:20ZengElsevierResults in Physics2211-37972022-09-0140105851Dynamical aspects of a delayed SEI2RS malware dissemination model in cyber–physical systemsXiaodong Yu0Aying Wan1School of Internet of Things Engineering, Wuxi University, Wuxi, 214105, ChinaSchool of Mathematics and Statistics, Hulunbuir University, Halar, Inner Mongolia, 021008, China; Corresponding author.In current paper, a delayed SEI2RS malware dissemination model in cyber–physical systems is proposed. Effect of the time delay owning to temporary immunity interval of the recovered nodes is analyzed. A series of sufficient criteria determining local stability of malware-existence equilibrium and occurrence of Hopf bifurcation are revealed via regarding the time delay owning to temporary immunity interval of the recovered nodes as bifurcation parameter. Additionally, direction and stability of the Hopf bifurcation are explored with the aid of the center manifold theorem and normal form theory method. At last, numerical calculations are conducted to prove validity of obtained results.http://www.sciencedirect.com/science/article/pii/S2211379722004971Cyber–physical systemDelaySEI2RS modelHopf bifurcationStability |
| spellingShingle | Xiaodong Yu Aying Wan Dynamical aspects of a delayed SEI2RS malware dissemination model in cyber–physical systems Results in Physics Cyber–physical system Delay SEI2RS model Hopf bifurcation Stability |
| title | Dynamical aspects of a delayed SEI2RS malware dissemination model in cyber–physical systems |
| title_full | Dynamical aspects of a delayed SEI2RS malware dissemination model in cyber–physical systems |
| title_fullStr | Dynamical aspects of a delayed SEI2RS malware dissemination model in cyber–physical systems |
| title_full_unstemmed | Dynamical aspects of a delayed SEI2RS malware dissemination model in cyber–physical systems |
| title_short | Dynamical aspects of a delayed SEI2RS malware dissemination model in cyber–physical systems |
| title_sort | dynamical aspects of a delayed sei2rs malware dissemination model in cyber physical systems |
| topic | Cyber–physical system Delay SEI2RS model Hopf bifurcation Stability |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722004971 |
| work_keys_str_mv | AT xiaodongyu dynamicalaspectsofadelayedsei2rsmalwaredisseminationmodelincyberphysicalsystems AT ayingwan dynamicalaspectsofadelayedsei2rsmalwaredisseminationmodelincyberphysicalsystems |