Fig. 5.

The approximative solution to the transmission dynamics given in Eq. (26) against the full solution to the dynamics obtained numerically by solving the equivalent system with Eqs. (1) and (2), each represented by the coloured solid and dashed lines, respectively, for a range of initial conditions M(t₀) and having fixed a value of $R_0=R_{0†}(z,k)+1.0\simeq 3.08$. In the left panel we plot the transmission dynamics around the stable equilibrium, and in the right panel we plot the dynamics around the unstable equilibrium. The solid black horizontal line corresponds to the value of $M=M_{*}(z,k,R_0)$ at the stable (left panel) and unstable (right panel) equilibrium numerically obtained from Eq. (9). Lastly, the grey region corresponds to values for which $|M-M_{*}(z,k,R_0)|<1$.