Mathematical and Statistical Sciences Faculty Publications and Presentations

Title

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

Document Type

Article

Publication Date

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

Publication Title

Comp and Math Methods

DOI

10.1002/cmm4.1097

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