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Cats do not necessarily have a period, like a human female, then have a time where they won't be fertile.
Cats are not like other animals that have a particular season when they breed. Once a cat reaches puberty, she will go into, and stay in heat until she is bred or surgically sterlized (altered, neutered, fixed, spayed).
In rare cases, feral cats may have an infertile time during extreme cold that could last for several months.