The Dynamical Behaviors of a Fractional-Order Malware Propagation Model in Information Networks
With the swift progress in communication and IT, information networks are increasingly integrated into our work and everyday life. This paper is dedicated to the study of the information network dynamics for a newly proposed fractional-order malware propagation model. Guided by the matrix theory of...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2024-12-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/12/23/3814 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1846124069035966464 |
|---|---|
| author | Xueying Shi An Luo Xiaoping Chen Ying Huang Chengdai Huang Xin Yin |
| author_facet | Xueying Shi An Luo Xiaoping Chen Ying Huang Chengdai Huang Xin Yin |
| author_sort | Xueying Shi |
| collection | DOAJ |
| description | With the swift progress in communication and IT, information networks are increasingly integrated into our work and everyday life. This paper is dedicated to the study of the information network dynamics for a newly proposed fractional-order malware propagation model. Guided by the matrix theory of eigenvalues, the local stability criteria for the model described above are investigated. In addition, Hopf bifurcation is under examination with time delay serving as the bifurcation parameter. Numerical simulations are used to validate the accuracy of theoretical outcomes. |
| format | Article |
| id | doaj-art-757c8a0ef4ce41079a9d2d5bd6cbc8a8 |
| institution | Kabale University |
| issn | 2227-7390 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj-art-757c8a0ef4ce41079a9d2d5bd6cbc8a82024-12-13T16:27:50ZengMDPI AGMathematics2227-73902024-12-011223381410.3390/math12233814The Dynamical Behaviors of a Fractional-Order Malware Propagation Model in Information NetworksXueying Shi0An Luo1Xiaoping Chen2Ying Huang3Chengdai Huang4Xin Yin5Department of Mathematics, Taizhou University, Taizhou 225300, ChinaDepartment of Mathematics, Taizhou University, Taizhou 225300, ChinaDepartment of Mathematics, Taizhou University, Taizhou 225300, ChinaDepartment of Mathematics, Taizhou University, Taizhou 225300, ChinaSchool of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, ChinaDepartment of Mathematics, Taizhou University, Taizhou 225300, ChinaWith the swift progress in communication and IT, information networks are increasingly integrated into our work and everyday life. This paper is dedicated to the study of the information network dynamics for a newly proposed fractional-order malware propagation model. Guided by the matrix theory of eigenvalues, the local stability criteria for the model described above are investigated. In addition, Hopf bifurcation is under examination with time delay serving as the bifurcation parameter. Numerical simulations are used to validate the accuracy of theoretical outcomes.https://www.mdpi.com/2227-7390/12/23/3814malware propagation modelfractional-orderHopf bifurcationtime delayinformation networks |
| spellingShingle | Xueying Shi An Luo Xiaoping Chen Ying Huang Chengdai Huang Xin Yin The Dynamical Behaviors of a Fractional-Order Malware Propagation Model in Information Networks Mathematics malware propagation model fractional-order Hopf bifurcation time delay information networks |
| title | The Dynamical Behaviors of a Fractional-Order Malware Propagation Model in Information Networks |
| title_full | The Dynamical Behaviors of a Fractional-Order Malware Propagation Model in Information Networks |
| title_fullStr | The Dynamical Behaviors of a Fractional-Order Malware Propagation Model in Information Networks |
| title_full_unstemmed | The Dynamical Behaviors of a Fractional-Order Malware Propagation Model in Information Networks |
| title_short | The Dynamical Behaviors of a Fractional-Order Malware Propagation Model in Information Networks |
| title_sort | dynamical behaviors of a fractional order malware propagation model in information networks |
| topic | malware propagation model fractional-order Hopf bifurcation time delay information networks |
| url | https://www.mdpi.com/2227-7390/12/23/3814 |
| work_keys_str_mv | AT xueyingshi thedynamicalbehaviorsofafractionalordermalwarepropagationmodelininformationnetworks AT anluo thedynamicalbehaviorsofafractionalordermalwarepropagationmodelininformationnetworks AT xiaopingchen thedynamicalbehaviorsofafractionalordermalwarepropagationmodelininformationnetworks AT yinghuang thedynamicalbehaviorsofafractionalordermalwarepropagationmodelininformationnetworks AT chengdaihuang thedynamicalbehaviorsofafractionalordermalwarepropagationmodelininformationnetworks AT xinyin thedynamicalbehaviorsofafractionalordermalwarepropagationmodelininformationnetworks AT xueyingshi dynamicalbehaviorsofafractionalordermalwarepropagationmodelininformationnetworks AT anluo dynamicalbehaviorsofafractionalordermalwarepropagationmodelininformationnetworks AT xiaopingchen dynamicalbehaviorsofafractionalordermalwarepropagationmodelininformationnetworks AT yinghuang dynamicalbehaviorsofafractionalordermalwarepropagationmodelininformationnetworks AT chengdaihuang dynamicalbehaviorsofafractionalordermalwarepropagationmodelininformationnetworks AT xinyin dynamicalbehaviorsofafractionalordermalwarepropagationmodelininformationnetworks |