A Numerical and Analytical Study of a Stochastic Epidemic SIR Model in the Light of White Noise
This study examines a novel SIR epidemic model that takes into account the impact of environmental white noise. According to the study, white noise has a significant impact on the disease. First, we establish the solution’s existence and uniqueness. Following that, we explain that the stochastic bas...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/1638571 |
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| author | Shah Hussain Elissa Nadia Madi Hasib Khan Mohammed S. Abdo |
| author_facet | Shah Hussain Elissa Nadia Madi Hasib Khan Mohammed S. Abdo |
| author_sort | Shah Hussain |
| collection | DOAJ |
| description | This study examines a novel SIR epidemic model that takes into account the impact of environmental white noise. According to the study, white noise has a significant impact on the disease. First, we establish the solution’s existence and uniqueness. Following that, we explain that the stochastic basic production R0 is a threshold that determines the extinction or persistence of the disease. When noise levels are high, we acquire R0<1, which causes the sickness to disappear. A sufficient condition for the existence of a stationary distribution is archived when the noise intensity is high, which suggests the infection is prevalent when R0>1. Finally, numerical simulations are used to explain the key findings. |
| format | Article |
| id | doaj-art-e22f3f5f711744e085bab046db62f529 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e22f3f5f711744e085bab046db62f5292025-02-03T06:05:03ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/1638571A Numerical and Analytical Study of a Stochastic Epidemic SIR Model in the Light of White NoiseShah Hussain0Elissa Nadia Madi1Hasib Khan2Mohammed S. Abdo3Faculty of Informatics and ComputingFaculty of Informatics and ComputingDepartment of MathematicsDepartment of MathematicsThis study examines a novel SIR epidemic model that takes into account the impact of environmental white noise. According to the study, white noise has a significant impact on the disease. First, we establish the solution’s existence and uniqueness. Following that, we explain that the stochastic basic production R0 is a threshold that determines the extinction or persistence of the disease. When noise levels are high, we acquire R0<1, which causes the sickness to disappear. A sufficient condition for the existence of a stationary distribution is archived when the noise intensity is high, which suggests the infection is prevalent when R0>1. Finally, numerical simulations are used to explain the key findings.http://dx.doi.org/10.1155/2022/1638571 |
| spellingShingle | Shah Hussain Elissa Nadia Madi Hasib Khan Mohammed S. Abdo A Numerical and Analytical Study of a Stochastic Epidemic SIR Model in the Light of White Noise Advances in Mathematical Physics |
| title | A Numerical and Analytical Study of a Stochastic Epidemic SIR Model in the Light of White Noise |
| title_full | A Numerical and Analytical Study of a Stochastic Epidemic SIR Model in the Light of White Noise |
| title_fullStr | A Numerical and Analytical Study of a Stochastic Epidemic SIR Model in the Light of White Noise |
| title_full_unstemmed | A Numerical and Analytical Study of a Stochastic Epidemic SIR Model in the Light of White Noise |
| title_short | A Numerical and Analytical Study of a Stochastic Epidemic SIR Model in the Light of White Noise |
| title_sort | numerical and analytical study of a stochastic epidemic sir model in the light of white noise |
| url | http://dx.doi.org/10.1155/2022/1638571 |
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