Qualitative analysis of a nonautonomous stochastic SIS epidemic model with Le´vy jumps
In this paper, we study a nonautonomous stochastic SIS epidemic model with Le´vy jumps. We first establish that this model has a unique global positive solution with the positive initial condition. Then, we investigate the condition for extinction of the disease. Moreover, by constructing suitable s...
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| Format: | Article |
| Language: | English |
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AIMS Press
2021-04-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | http://www.aimspress.com/article/doi/10.3934/mbe.2021071?viewType=HTML |
| _version_ | 1818937609895804928 |
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| author | Long Lv Xiao-Juan Yao |
| author_facet | Long Lv Xiao-Juan Yao |
| author_sort | Long Lv |
| collection | DOAJ |
| description | In this paper, we study a nonautonomous stochastic SIS epidemic model with Le´vy jumps. We first establish that this model has a unique global positive solution with the positive initial condition. Then, we investigate the condition for extinction of the disease. Moreover, by constructing suitable stochastic Lyapunov function, sufficient conditions for persistence and existence of Nontrivial T-periodic solution of system are obtained. Finally, numerical simulations are also presented to illustrate the main results. |
| first_indexed | 2024-12-20T05:54:41Z |
| format | Article |
| id | doaj.art-7085fd6e31cc458dac8892e5d9441742 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-12-20T05:54:41Z |
| publishDate | 2021-04-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-7085fd6e31cc458dac8892e5d94417422022-12-21T19:51:05ZengAIMS PressMathematical Biosciences and Engineering1551-00182021-04-011821352136910.3934/mbe.2021071Qualitative analysis of a nonautonomous stochastic SIS epidemic model with Le´vy jumpsLong Lv0Xiao-Juan Yao 11. School of General Education, College of Technology And Engineering, Lanzhou University of Technology, Lanzhou, Gansu, 730050, People's Republic of China2. No.1 Middle School of Lanzhou, Lanzhou, Gansu, 730030, People's Republic of ChinaIn this paper, we study a nonautonomous stochastic SIS epidemic model with Le´vy jumps. We first establish that this model has a unique global positive solution with the positive initial condition. Then, we investigate the condition for extinction of the disease. Moreover, by constructing suitable stochastic Lyapunov function, sufficient conditions for persistence and existence of Nontrivial T-periodic solution of system are obtained. Finally, numerical simulations are also presented to illustrate the main results.http://www.aimspress.com/article/doi/10.3934/mbe.2021071?viewType=HTMLnonautonomous stochastic sis epidemic modelle´vy jumpslyapunov functiont-periodic solutionextinction and persistence |
| spellingShingle | Long Lv Xiao-Juan Yao Qualitative analysis of a nonautonomous stochastic SIS epidemic model with Le´vy jumps Mathematical Biosciences and Engineering nonautonomous stochastic sis epidemic model le´vy jumps lyapunov function t-periodic solution extinction and persistence |
| title | Qualitative analysis of a nonautonomous stochastic SIS epidemic model with Le´vy jumps |
| title_full | Qualitative analysis of a nonautonomous stochastic SIS epidemic model with Le´vy jumps |
| title_fullStr | Qualitative analysis of a nonautonomous stochastic SIS epidemic model with Le´vy jumps |
| title_full_unstemmed | Qualitative analysis of a nonautonomous stochastic SIS epidemic model with Le´vy jumps |
| title_short | Qualitative analysis of a nonautonomous stochastic SIS epidemic model with Le´vy jumps |
| title_sort | qualitative analysis of a nonautonomous stochastic sis epidemic model with le´vy jumps |
| topic | nonautonomous stochastic sis epidemic model le´vy jumps lyapunov function t-periodic solution extinction and persistence |
| url | http://www.aimspress.com/article/doi/10.3934/mbe.2021071?viewType=HTML |
| work_keys_str_mv | AT longlv qualitativeanalysisofanonautonomousstochasticsisepidemicmodelwithlevyjumps AT xiaojuanyao qualitativeanalysisofanonautonomousstochasticsisepidemicmodelwithlevyjumps |