Answer:
Survival of the fittest does not apply to domesticated animals. This is because these animals don't live in the wild so they don't have to run after things and kill them. Their food comes out of a tin and is provided by human beings. They don't have any predators so their lives are seldom at risk. Thus, they don't need to be fitter or more powerful than other animals in any way.
Lets take the example of pet dogs. We keep them for our support or simply because we enjoy their company. We provide them with food, shelter etc. and protect them. Since, we basically do everything for them; they need not evolve into a stronger, more powerful species.
However, in the case of stray dogs, they have to fight for their survival. They have to fight with other dogs for food and shelter. Hence, survival of the fittest will apply here as the strongest dog gets to eat.
Hope this helps.
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