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 |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 1687-9139 |