The introduction of eastern cottontail (Sylvilagus floridanus) for hunting purposes has influenced the local predator-prey dynamics of native European hares (Lepus europaeus) and red foxes (Vulpes vulpes) in some northern and central regions of Italy. No direct competition seems to occur between the two lagomorphs, but invasive cottontails cause hyperpredation of red foxes on native prey. In addition, they can also carry viruses that affect European hares. In particular, eastern cottontails are carriers of the European Brown Hare Syndrome Virus (EBHSV), a calicivirus that infects European hares and leads to high mortality, causing a disease characterized by acute necrotizing hepatitis. In this talk, we focus on the scenario in which EBHSV-infected eastern cottontails are introduced in a virus-free region of European hares and red foxes. To mitigate the negative effects of this lagomorph invasion, we look at two possible biological control actions using the Z-type control method on a four-population reference system. Specifically, we consider an indirect control of invasive prey acting on predators and a combination of this indirect control with a direct control of native prey.