Figure 4.  Simulation of plant-herbivore interaction in which ten plants differ in suitability for herbivore survival.  Parameter approximate those estimated for populations of Heliconius butterflies and Passiflora vines, with the estimated spectrum in herbivore survival rates ranging over two orders of magnitude from 0.003 to 0.333.  Trajectories of herbivore numbers (top) are given for growth cutoff model (solid line) and logistic model (dotted line). Trajectories for plant size (bottom) are given for plant categories 1-10 (cutoff model: solid line) and for plant 7 (logistic growth model; dotted line).  The trajectories illustrate that the cutoff model converges to cycles of small amplitude, while the logistic model converges to a stable equilibrium.