Detectable sensation of a stochastic smoking model
This paper is related to the stochastic smoking model for the purpose of creating the effects of smoking that are not observed in deterministic form. First, formulation of the stochastic model is presented. Then the sufficient conditions for extinction and persistence are determined. Furthermore, th...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2020-09-01
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| Series: | Open Mathematics |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/math-2020-0068 |
| _version_ | 1818690037657632768 |
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| author | Alzahrani Abdullah Zeb Anwar |
| author_facet | Alzahrani Abdullah Zeb Anwar |
| author_sort | Alzahrani Abdullah |
| collection | DOAJ |
| description | This paper is related to the stochastic smoking model for the purpose of creating the effects of smoking that are not observed in deterministic form. First, formulation of the stochastic model is presented. Then the sufficient conditions for extinction and persistence are determined. Furthermore, the threshold of the proposed stochastic model is discussed, when noises are small or large. Finally, the numerical simulations are shown graphically with the software MATLAB. |
| first_indexed | 2024-12-17T12:19:38Z |
| format | Article |
| id | doaj.art-adb8733177ee4b71af60d6a92f9fdf06 |
| institution | Directory Open Access Journal |
| issn | 2391-5455 |
| language | English |
| last_indexed | 2024-12-17T12:19:38Z |
| publishDate | 2020-09-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Mathematics |
| spelling | doaj.art-adb8733177ee4b71af60d6a92f9fdf062022-12-21T21:49:02ZengDe GruyterOpen Mathematics2391-54552020-09-011811045105510.1515/math-2020-0068math-2020-0068Detectable sensation of a stochastic smoking modelAlzahrani Abdullah0Zeb Anwar1Department of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, COMSATS University Islamabad, Abbottabad Campus, Abbottabad, Khyber Pakhtunkhwa, 22060, PakistanThis paper is related to the stochastic smoking model for the purpose of creating the effects of smoking that are not observed in deterministic form. First, formulation of the stochastic model is presented. Then the sufficient conditions for extinction and persistence are determined. Furthermore, the threshold of the proposed stochastic model is discussed, when noises are small or large. Finally, the numerical simulations are shown graphically with the software MATLAB.https://doi.org/10.1515/math-2020-0068stochastic smoking modelitô’s formulaextinctionpersistencenumerical analysis37h3026a1828dxx34cxx |
| spellingShingle | Alzahrani Abdullah Zeb Anwar Detectable sensation of a stochastic smoking model Open Mathematics stochastic smoking model itô’s formula extinction persistence numerical analysis 37h30 26a18 28dxx 34cxx |
| title | Detectable sensation of a stochastic smoking model |
| title_full | Detectable sensation of a stochastic smoking model |
| title_fullStr | Detectable sensation of a stochastic smoking model |
| title_full_unstemmed | Detectable sensation of a stochastic smoking model |
| title_short | Detectable sensation of a stochastic smoking model |
| title_sort | detectable sensation of a stochastic smoking model |
| topic | stochastic smoking model itô’s formula extinction persistence numerical analysis 37h30 26a18 28dxx 34cxx |
| url | https://doi.org/10.1515/math-2020-0068 |
| work_keys_str_mv | AT alzahraniabdullah detectablesensationofastochasticsmokingmodel AT zebanwar detectablesensationofastochasticsmokingmodel |