CMMSE on explicit and numerical solutions for stochastic PDEs: Fisher and Burgers equations

Authors

Erwin Suazo, The University of Texas Rio Grande ValleyFollow
Tamer Oraby, The University of Texas Rio Grande Valley
Jose Palacio, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

5-2021

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.

Comments

© 2020 John Wiley & Sons Ltd

https://onlinelibrary.wiley.com/share/IY7MXXD5UWVPGBHW2AR7?target=10.1002/cmm4.1097

Recommended Citation

Suazo, E, Oraby, T, Palacio, J. CMMSE on explicit and numerical solutions for stochastic PDEs: Fisher and Burgers equations. Comp and Math Methods. 2021; 3:e1097. https://doi.org/10.1002/cmm4.1097

Publication Title

Computational and Mathematical Methods

DOI

10.1002/cmm4.1097