Dynamics of an SIR epidemic model incorporating time delay and convex incidence rate
In this paper, dynamical behaviors including stability and Hopf bifurcation of a delayed SIR epidemic model with convex incidence rate are examined. We first discuss the existence of Hopf bifurcation. Subsequently, direction and stability of Hopf bifurcation are investigated. Moreover, length of the...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-01-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379721010226 |
| _version_ | 1819000218092306432 |
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| author | Haojie Yang Yougang Wang Soumen Kundu Zhiqiang Song Zizhen Zhang |
| author_facet | Haojie Yang Yougang Wang Soumen Kundu Zhiqiang Song Zizhen Zhang |
| author_sort | Haojie Yang |
| collection | DOAJ |
| description | In this paper, dynamical behaviors including stability and Hopf bifurcation of a delayed SIR epidemic model with convex incidence rate are examined. We first discuss the existence of Hopf bifurcation. Subsequently, direction and stability of Hopf bifurcation are investigated. Moreover, length of the time delay which can retain stability of the proposed model has been appraised. Specially, global exponential stability is studied. Finally, numerical simulations are carried out with the suitable choices of parameters in the prosed model. |
| first_indexed | 2024-12-20T22:29:49Z |
| format | Article |
| id | doaj.art-1bf24d89e33a41c4b016f76b30740157 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-12-20T22:29:49Z |
| publishDate | 2022-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-1bf24d89e33a41c4b016f76b307401572022-12-21T19:24:44ZengElsevierResults in Physics2211-37972022-01-0132105025Dynamics of an SIR epidemic model incorporating time delay and convex incidence rateHaojie Yang0Yougang Wang1Soumen Kundu2Zhiqiang Song3Zizhen Zhang4School 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, China; Corresponding authors.ICFAI University Tripura, Department of Mathematics, Faculty of Science and Technology, Kamalghat, Mohanpur, West Tripura 799210, IndiaSchool of Mechanical and Electrical Engineering, Hulunbuir University, Hulunbuir 021008, China; Corresponding authors.School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu, 233030, ChinaIn this paper, dynamical behaviors including stability and Hopf bifurcation of a delayed SIR epidemic model with convex incidence rate are examined. We first discuss the existence of Hopf bifurcation. Subsequently, direction and stability of Hopf bifurcation are investigated. Moreover, length of the time delay which can retain stability of the proposed model has been appraised. Specially, global exponential stability is studied. Finally, numerical simulations are carried out with the suitable choices of parameters in the prosed model.http://www.sciencedirect.com/science/article/pii/S2211379721010226SIR epidemic modelConvex incidence rateHopf bifurcationNyquist criteriaGlobal exponential stability |
| spellingShingle | Haojie Yang Yougang Wang Soumen Kundu Zhiqiang Song Zizhen Zhang Dynamics of an SIR epidemic model incorporating time delay and convex incidence rate Results in Physics SIR epidemic model Convex incidence rate Hopf bifurcation Nyquist criteria Global exponential stability |
| title | Dynamics of an SIR epidemic model incorporating time delay and convex incidence rate |
| title_full | Dynamics of an SIR epidemic model incorporating time delay and convex incidence rate |
| title_fullStr | Dynamics of an SIR epidemic model incorporating time delay and convex incidence rate |
| title_full_unstemmed | Dynamics of an SIR epidemic model incorporating time delay and convex incidence rate |
| title_short | Dynamics of an SIR epidemic model incorporating time delay and convex incidence rate |
| title_sort | dynamics of an sir epidemic model incorporating time delay and convex incidence rate |
| topic | SIR epidemic model Convex incidence rate Hopf bifurcation Nyquist criteria Global exponential stability |
| url | http://www.sciencedirect.com/science/article/pii/S2211379721010226 |
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