These equations are given by:
\[
\begin{align*}
\frac{dp}{dt} &= D_p \nabla^2 p + f(p, s) \\
\frac{ds}{dt} &= D_s \nabla^2 s + g(p, s)
\end{align*}
\]
where $D_p$ and $D_s$ are the diffusion coefficients of substances $p$ and $s$, respectively, $\nabla^2$ is the
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