A Numerical and Analytical Study of a Stochastic Epidemic SIR Model in the Light of White Noise

Shah Hussain, Elissa Nadia Madi, Hasib Khan and Mohammed S. Abdo

Advances in Mathematical Physics, 2022, vol. 2022, issue 1

Abstract: 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. Finally, numerical simulations are used to explain the key findings.

Date: 2022
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https://doi.org/10.1155/2022/1638571

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2022:y:2022:i:1:n:1638571

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