Dynamics of a Computer Virus Propagation Model with Delays and Graded Infection Rate
A four-compartment computer virus propagation model with two delays and graded infection rate is investigated in this paper. The critical values where a Hopf bifurcation occurs are obtained by analyzing the distribution of eigenvalues of the corresponding characteristic equation. In succession, dire...
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2017/4514935 |
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| _version_ | 1832551875795222528 |
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| author | Zizhen Zhang Limin Song |
| author_facet | Zizhen Zhang Limin Song |
| author_sort | Zizhen Zhang |
| collection | DOAJ |
| description | A four-compartment computer virus propagation model with two delays and graded infection rate is investigated in this paper. The critical values where a Hopf bifurcation occurs are obtained by analyzing the distribution of eigenvalues of the corresponding characteristic equation. In succession, direction and stability of the Hopf bifurcation when the two delays are not equal are determined by using normal form theory and center manifold theorem. Finally, some numerical simulations are also carried out to justify the obtained theoretical results. |
| format | Article |
| id | doaj-art-5e369d931dd3416b8bd74c9726048a2c |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-5e369d931dd3416b8bd74c9726048a2c2025-02-03T06:00:14ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/45149354514935Dynamics of a Computer Virus Propagation Model with Delays and Graded Infection RateZizhen Zhang0Limin Song1School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, ChinaDepartment of Computer, Liaocheng College of Education, Liaocheng 252004, ChinaA four-compartment computer virus propagation model with two delays and graded infection rate is investigated in this paper. The critical values where a Hopf bifurcation occurs are obtained by analyzing the distribution of eigenvalues of the corresponding characteristic equation. In succession, direction and stability of the Hopf bifurcation when the two delays are not equal are determined by using normal form theory and center manifold theorem. Finally, some numerical simulations are also carried out to justify the obtained theoretical results.http://dx.doi.org/10.1155/2017/4514935 |
| spellingShingle | Zizhen Zhang Limin Song Dynamics of a Computer Virus Propagation Model with Delays and Graded Infection Rate Advances in Mathematical Physics |
| title | Dynamics of a Computer Virus Propagation Model with Delays and Graded Infection Rate |
| title_full | Dynamics of a Computer Virus Propagation Model with Delays and Graded Infection Rate |
| title_fullStr | Dynamics of a Computer Virus Propagation Model with Delays and Graded Infection Rate |
| title_full_unstemmed | Dynamics of a Computer Virus Propagation Model with Delays and Graded Infection Rate |
| title_short | Dynamics of a Computer Virus Propagation Model with Delays and Graded Infection Rate |
| title_sort | dynamics of a computer virus propagation model with delays and graded infection rate |
| url | http://dx.doi.org/10.1155/2017/4514935 |
| work_keys_str_mv | AT zizhenzhang dynamicsofacomputerviruspropagationmodelwithdelaysandgradedinfectionrate AT liminsong dynamicsofacomputerviruspropagationmodelwithdelaysandgradedinfectionrate |