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Zoönoses are diseases transmitted between animals and people. There are many such diseases--here are some links concerned with a few zoönoses that are currently of significant concern to animal control.
Pets and Disease--General
Rabies
Monkeypox
West Nile Virus (WNV)
Raccoon Roundworm (Baylisascaris procyonis)
Lyme Disease
Salmonellosis