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

Author

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  • Shah Hussain
  • Elissa Nadia Madi
  • Hasib Khan
  • Mohammed S. Abdo
  • Qura tul Ain

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.

Suggested Citation

  • Shah Hussain & Elissa Nadia Madi & Hasib Khan & Mohammed S. Abdo & Qura tul Ain, 2022. "A Numerical and Analytical Study of a Stochastic Epidemic SIR Model in the Light of White Noise," Advances in Mathematical Physics, Hindawi, vol. 2022, pages 1-9, August.
    • Handle: RePEc:hin:jnlamp:1638571
    DOI: 10.1155/2022/1638571
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