Having lived in the west all my life, I have always been quite fond of the coyote. It has a myriad of nicknames and reputations, among them are: "songdog," "trickster," and my favorite, "God's dog." They have been hated by ranchers and feared by the ignorant; subsequently poisoned, shot, trapped, but they still remain and flourish.
They control their own population (we humans could take a lesson) by limiting reproduction when food supplies are scarce. They are perhaps the most adaptable of all mammals, living in all climates, elevations, and ecosystems.
When humans tried to control the coyote population such as they did in Idaho in the seventies, the ranchers and farmers found themselves overrun by rabbits. A similar ecological imbalance occurred in the Grand Canyon when they tried to rid the canyon of Mountain lions. Fear and ignorance are our greatest enemies, not the coyote.