Fig. 13.

Numerical simulations of the homogenised equations (11) for the demographic parameters of the weasel-vole system ($E_1=0.9,B_1=2.4$) system from Fig. 5. We consider the $\eta =1.0$ (left plots) and $\eta =7.0$ (right plots) cases, for different values of the bifurcation parameter C with respect to its critical value $C_{\text{crit}}$: $ϵ=C-C_{\text{crit}}=0.01$ (upper plots), 0.5 (centre plots), 1.0 (lower plots). The solutions are plotted at $T=$ 500,000. The same initial conditions, numerical scheme and discretisation from Fig. 6 were used. Boundary conditions: Dirichlet $(h,p)=(h^{\ast },p^{\ast })$ at $X=0$ (steady state—dashed lines) and zero-flux at $X=L=7000$. Other parameters: $\beta =1$, $\delta =1$ (Color Figure Online)