Positive Recurrence and Extinction of Hybrid Stochastic SIRS Model with Nonlinear Incidence Rate
In this paper, the dynamic behavior of a class of hybrid SIRS model with nonlinear incidence is studied. Firstly, we provide the condition under which the positive recurrence exists and then give the threshold R0S for disease extinction, that is, when R0S<1, the disease will die out. Finally, som...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6699024 |
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| _version_ | 1832546819301703680 |
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| author | Liang Chen Shan Wang |
| author_facet | Liang Chen Shan Wang |
| author_sort | Liang Chen |
| collection | DOAJ |
| description | In this paper, the dynamic behavior of a class of hybrid SIRS model with nonlinear incidence is studied. Firstly, we provide the condition under which the positive recurrence exists and then give the threshold R0S for disease extinction, that is, when R0S<1, the disease will die out. Finally, some examples are constructed to verify the conclusion. |
| format | Article |
| id | doaj-art-8fe97c342f1646a6ad6b3efa99668308 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-8fe97c342f1646a6ad6b3efa996683082025-02-03T06:47:03ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66990246699024Positive Recurrence and Extinction of Hybrid Stochastic SIRS Model with Nonlinear Incidence RateLiang Chen0Shan Wang1College of Science, Jiujiang University, Jiujiang 332000, ChinaDepartment of Mathematics, Pingxiang University, Pingxiang 337000, ChinaIn this paper, the dynamic behavior of a class of hybrid SIRS model with nonlinear incidence is studied. Firstly, we provide the condition under which the positive recurrence exists and then give the threshold R0S for disease extinction, that is, when R0S<1, the disease will die out. Finally, some examples are constructed to verify the conclusion.http://dx.doi.org/10.1155/2021/6699024 |
| spellingShingle | Liang Chen Shan Wang Positive Recurrence and Extinction of Hybrid Stochastic SIRS Model with Nonlinear Incidence Rate Journal of Mathematics |
| title | Positive Recurrence and Extinction of Hybrid Stochastic SIRS Model with Nonlinear Incidence Rate |
| title_full | Positive Recurrence and Extinction of Hybrid Stochastic SIRS Model with Nonlinear Incidence Rate |
| title_fullStr | Positive Recurrence and Extinction of Hybrid Stochastic SIRS Model with Nonlinear Incidence Rate |
| title_full_unstemmed | Positive Recurrence and Extinction of Hybrid Stochastic SIRS Model with Nonlinear Incidence Rate |
| title_short | Positive Recurrence and Extinction of Hybrid Stochastic SIRS Model with Nonlinear Incidence Rate |
| title_sort | positive recurrence and extinction of hybrid stochastic sirs model with nonlinear incidence rate |
| url | http://dx.doi.org/10.1155/2021/6699024 |
| work_keys_str_mv | AT liangchen positiverecurrenceandextinctionofhybridstochasticsirsmodelwithnonlinearincidencerate AT shanwang positiverecurrenceandextinctionofhybridstochasticsirsmodelwithnonlinearincidencerate |