CMMSE on explicit and numerical solutions for stochastic PDEs: Fisher and Burgers equations. Issue 3 (6th May 2020)

• Record Type: Journal Article
• Authors: Suazo, Erwin; Oraby, Tamer; Palacio, Jose
• Is Part Of: Computational and mathematical methods. Volume 3:Issue 3(2021)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2020-05-06
• Subjects: exponentially asymptotically stability -- global stability -- local stability -- stochastic differential equations -- stochastic SI model; Mathematics -- Data processing -- Periodicals; Numerical analysis -- Periodicals; Numerical analysis; Mathematics -- Data processing; Periodicals; 004.0151
• DOI: 10.1002/cmm4.1097
• Languages: English
• ISSNs: 2577-7408

Abstract

Abstract: In this work we study a stochastic susceptible‐infected (SI) model with space‐uniform white noise. We present conditions to find exact solutions and numerical simulations are compared to these exact solutions in some cases. We demonstrate that the model is exponentially asymptotically stable almost surely. We show the global stability and local stability of a special case of the model.