Solution
= Solution
<Law of mass action> assigns net <substrate> gain $k_0s$ to autocatalytic replication, <substrate>-<enzyme> binding flux $k_1se$, dissociation flux $k_{-1}c$ and product-formation flux $k_2c$. Therefore
$$
\boxed{\dot s=k_0s-k_1se+k_{-1}c,\quad
\dot c=k_1se-(k_{-1}+k_2)c,\quad
\dot e=-k_1se+(k_{-1}+k_2)c.}
$$
Complex breakdown to product restores free <enzyme> but does not restore <substrate>. Product <concentration>, if required, satisfies $\dot p=k_2c$.