CMMSE on explicit and numerical solutions for stochastic PDEs: Fisher and Burgers equations
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.
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
Comp and Math Methods