A Numerical and Analytical Study of a Stochastic Epidemic SIR Model in the Light of White Noise. (27th August 2022)

• Record Type: Journal Article
• Authors: Hussain, Shah; Madi, Elissa Nadia; Khan, Hasib; Abdo, Mohammed S.
• Other Names: tul Ain Qura Academic Editor.
• Is Part Of: Advances in mathematical physics. Volume 2022(2022)
• Publication Date: 2022-08-27
• Subjects: Mathematical physics -- Periodicals; Mathematical physics; Periodicals; 530.15
• DOI: 10.1155/2022/1638571
• Languages: English
• ISSNs: 1687-9120

Abstract

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 R 0 is a threshold that determines the extinction or persistence of the disease. When noise levels are high, we acquire R 0 < 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 R 0 > 1 . Finally, numerical simulations are used to explain the key findings.