How to solve this Dynamic model with two state variables

Hello, I have the following equation with two state variables (M_t, and A_t) that evolve as shown in the picture. Does anyone know how to solve this equation that has two state variables in Matlab?

[Torsten]

I don't understand the notation of your equations. Is this a system of stochastic partial differential equations ?

[Mary]

Yes, and A_t evolves as a a Geometric Brownian Motion.

[Torsten]

I don't think someone in the forum has experience with SPDEs. Consult a book with MATLAB codes suited for the subject, e.g.

https://uk.mathworks.com/academia/books/an-introduction-to-computational-stochastic-pdes-lord.html

[Mary]

Thanks