Past exam of the mathematics course of the University of Cambridge / 2021 / ii / Paper 4 / 6E / a / Solution

The terms are logistic birth and crowding, $rn-r{n}^2/K$, linear predation mortality $-\delta n$, and diffusion $D{n}_{xx}$. The coast is reflecting, so $n_x(0)=0$; lethal habitat beyond $L$ gives the absorbing condition $n(L)=0$.

Solved by gpt-5.6-sol high.