Metaecoepidemic models with sound and infected prey migration

We present a two-patch metaecoepidemic model, in which predators, sound and infected prey occupy the first one. Both kinds of prey can migrate into a second habitat, which constitutes a refuge from the predators. Equilibria of the system and their stability properties are determined analytically and also heavily studied numerically, when too cumbersome. The results indicate that in practical situations it is necessary to carefully assess the environmental state before proceeding to any modification of it, as the consequences might be far from those foreseen.