“…To underpin the concern that environmental change of whatever sort (climate, habitat encroachment or fragmentation) can flip an ecosystem from stable persistence to sudden total collapse, we consider a class of so-called ecoepidemic models. Some ecoepidemic models [47] consider several hosts and a parasite that mediates or otherwise influences competition [5,37,41] or cooperation [63] between them; others consider a predator-prey-parasite system where the parasite afflicts the prey or/and the predator and affects the predation process ( [1,2,4,8,9,11,12,16,26,27,39,40,46,48,52,51,64,65,68,69,70,71] and the references therein).…”