| Abstract: |
| We introduce a stochastic spatial epidemic model with nonlinear incidence rates and stochastic advection terms. Existence and regularity of solutions of the system of reaction-diffusion equations is demonstrated for Dirichlet boundary conditions. We will analyze stable states of the system at large times. We present an infinite dimensional Runge-Kutta scheme to numerically compute solutions for the system and illustrate our results. This is joint work with Yanyu Xiao. |
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