Dynamics of a nonlinear SIQRS computer virus spreading model with two delays
In this paper, a Susceptible-Infected-Quarantined-Susceptible (SIQRS) computer virus propagation model with nonlinear infection rate and two-delay is formulated. The local stability of virus-free equilibrium without delay is examined. Furthermore, we also expound and prove that time-delay plays a cr...
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-02-01
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| Series: | AIMS Mathematics |
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| Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2021242?viewType=HTML |
| _version_ | 1831807087828533248 |
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| author | Fangfang Yang Zizhen Zhang |
| author_facet | Fangfang Yang Zizhen Zhang |
| author_sort | Fangfang Yang |
| collection | DOAJ |
| description | In this paper, a Susceptible-Infected-Quarantined-Susceptible (SIQRS) computer virus propagation model with nonlinear infection rate and two-delay is formulated. The local stability of virus-free equilibrium without delay is examined. Furthermore, we also expound and prove that time-delay plays a crucial role in sufficient conditions for the local stability of the virus-existence equilibrium and the occurrence of Hopf bifurcation at the critical value. Especially, direction and stability of the Hopf bifurcation are demonstrated. Finally, some numerical simulations are presented in order to verify the theoretical results. |
| first_indexed | 2024-12-22T19:53:56Z |
| format | Article |
| id | doaj.art-1693db2642c247cca0f01014d3b36e5a |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-12-22T19:53:56Z |
| publishDate | 2021-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-1693db2642c247cca0f01014d3b36e5a2022-12-21T18:14:28ZengAIMS PressAIMS Mathematics2473-69882021-02-01644083410410.3934/math.2021242Dynamics of a nonlinear SIQRS computer virus spreading model with two delaysFangfang Yang0Zizhen Zhang1School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, ChinaSchool of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, ChinaIn this paper, a Susceptible-Infected-Quarantined-Susceptible (SIQRS) computer virus propagation model with nonlinear infection rate and two-delay is formulated. The local stability of virus-free equilibrium without delay is examined. Furthermore, we also expound and prove that time-delay plays a crucial role in sufficient conditions for the local stability of the virus-existence equilibrium and the occurrence of Hopf bifurcation at the critical value. Especially, direction and stability of the Hopf bifurcation are demonstrated. Finally, some numerical simulations are presented in order to verify the theoretical results.http://www.aimspress.com/article/doi/10.3934/math.2021242?viewType=HTMLdelaysnonlinear infection ratequarantine strategybifurcationstabilitysiqrs computer virus propagation model |
| spellingShingle | Fangfang Yang Zizhen Zhang Dynamics of a nonlinear SIQRS computer virus spreading model with two delays AIMS Mathematics delays nonlinear infection rate quarantine strategy bifurcation stability siqrs computer virus propagation model |
| title | Dynamics of a nonlinear SIQRS computer virus spreading model with two delays |
| title_full | Dynamics of a nonlinear SIQRS computer virus spreading model with two delays |
| title_fullStr | Dynamics of a nonlinear SIQRS computer virus spreading model with two delays |
| title_full_unstemmed | Dynamics of a nonlinear SIQRS computer virus spreading model with two delays |
| title_short | Dynamics of a nonlinear SIQRS computer virus spreading model with two delays |
| title_sort | dynamics of a nonlinear siqrs computer virus spreading model with two delays |
| topic | delays nonlinear infection rate quarantine strategy bifurcation stability siqrs computer virus propagation model |
| url | http://www.aimspress.com/article/doi/10.3934/math.2021242?viewType=HTML |
| work_keys_str_mv | AT fangfangyang dynamicsofanonlinearsiqrscomputervirusspreadingmodelwithtwodelays AT zizhenzhang dynamicsofanonlinearsiqrscomputervirusspreadingmodelwithtwodelays |