Stochastic Analysis of a Hantavirus Infection Model
In this paper, a stochastic Hantavirus infection model is constructed. The existence, uniqueness, and boundedness of the positive solution of the stochastic Hantavirus infection model are derived. The conditions for the extinction of the Hantavirus infection from the stochastic system are obtained....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-10-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/20/3756 |
| _version_ | 1797431522468298752 |
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| author | Yousef Alnafisah Moustafa El-Shahed |
| author_facet | Yousef Alnafisah Moustafa El-Shahed |
| author_sort | Yousef Alnafisah |
| collection | DOAJ |
| description | In this paper, a stochastic Hantavirus infection model is constructed. The existence, uniqueness, and boundedness of the positive solution of the stochastic Hantavirus infection model are derived. The conditions for the extinction of the Hantavirus infection from the stochastic system are obtained. Furthermore, the criteria for the presence of a unique ergodic stationary distribution for the Hantavirus infection model are established using a suitable Lyapunov function. Finally, the importance of environmental noise in the Hantavirus infection model is illustrated using the Milstein method. |
| first_indexed | 2024-03-09T09:46:17Z |
| format | Article |
| id | doaj.art-e6219f61a8874689aece5a35240e86cb |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T09:46:17Z |
| publishDate | 2022-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-e6219f61a8874689aece5a35240e86cb2023-12-02T00:36:00ZengMDPI AGMathematics2227-73902022-10-011020375610.3390/math10203756Stochastic Analysis of a Hantavirus Infection ModelYousef Alnafisah0Moustafa El-Shahed1Department of Mathematics, College of Sciences, Qassim University, P.O. Box 6644, Buraydah 51452, Saudi ArabiaDepartment of Mathematics, Unaizah College of Sciences and Arts, Qassim University, P.O. Box 3771, Unaizah 51911, Saudi ArabiaIn this paper, a stochastic Hantavirus infection model is constructed. The existence, uniqueness, and boundedness of the positive solution of the stochastic Hantavirus infection model are derived. The conditions for the extinction of the Hantavirus infection from the stochastic system are obtained. Furthermore, the criteria for the presence of a unique ergodic stationary distribution for the Hantavirus infection model are established using a suitable Lyapunov function. Finally, the importance of environmental noise in the Hantavirus infection model is illustrated using the Milstein method.https://www.mdpi.com/2227-7390/10/20/3756HantavirusMilstein methodstochasticergodic stationary distributionbiodiversity |
| spellingShingle | Yousef Alnafisah Moustafa El-Shahed Stochastic Analysis of a Hantavirus Infection Model Mathematics Hantavirus Milstein method stochastic ergodic stationary distribution biodiversity |
| title | Stochastic Analysis of a Hantavirus Infection Model |
| title_full | Stochastic Analysis of a Hantavirus Infection Model |
| title_fullStr | Stochastic Analysis of a Hantavirus Infection Model |
| title_full_unstemmed | Stochastic Analysis of a Hantavirus Infection Model |
| title_short | Stochastic Analysis of a Hantavirus Infection Model |
| title_sort | stochastic analysis of a hantavirus infection model |
| topic | Hantavirus Milstein method stochastic ergodic stationary distribution biodiversity |
| url | https://www.mdpi.com/2227-7390/10/20/3756 |
| work_keys_str_mv | AT yousefalnafisah stochasticanalysisofahantavirusinfectionmodel AT moustafaelshahed stochasticanalysisofahantavirusinfectionmodel |