They have not been driven to extinction because there are many other environments that they can exist in.
Because so many people hunt them they are about to be driven towards extinction.
Producers driven by the profit motive seek to reduce their competition.
Bengal tigers are being driven towards extinction because of destruction of their habitat by humans. Humans are the primary reason for every extinction within the last 500 years.
The hardwood forest of Pennsylvania are making an excellent recovery since the introduction of the National Forest in 1923 with the possible exception of hemlock which was almost driven to extinction. The competition between Recreation and forestry needs will continue but the state has 20 state forests including some large tracts.
An animal might be hunted into extinction. Some of the last Australian thylacines were shot to death, though the very last one probably died in a zoo. The passenger pigeon was hunted into extinction. Disease can also wipe out a species. The Tasmanian devils are threated by a face cancer. An asteroid (or comet) impact may have wiped out the dinosaurs 65 million years ago. If an animal's food source becomes extinct, or the animal is driven from a key food source, that can cause it to become extinct. Competition for a food source can also lead to extinction, for example, if some other species devours all the food. It was once thought that the dinosaurs may have become extinct because little mammals ate all their eggs. Invasive species may step up competition for resources, driving native species to extinction. Also, extinction may be caused by a combination of these factors.
I believe a combined measure of poaching and habitat loss has driven the Indian tiger to become endangered.
overseas competition
Frankly no. No one can prove a thing does not exist. But, it can be proven, especially in the case of the Illuminati, that while they did exist at one time, they were driven into extinction.
Producers are driven by the profit motive to work against competition.
Wolf
"Chilean sea bass"
The baiji dolphin was a freshwater dolphin and the first to be driven to extinction by humans. This species is thought to have gone extinct in 2006.