Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 356 / 2 / a / Solution

Let ${\mathbf{e}}_i$ be the $i$th coordinate vector and take $p$ to be zero whenever any argument is negative. Right jumps $i\to i+1$, left jumps $i\to i-1$, and absorption from compartment $1$ give the chemical master equation