Unlike dogs or humans, who can survive for days or weeks without food, a cat refusing to eat is a medical emergency.
The Dangers of Hepatic Lipidosis
If a cat doesn't eat for even 24 to 48 hours, their body begins to send fat to the liver to be processed into fuel. However, cats' livers are not designed to handle large amounts of fat. This causes the fat to clog the liver cells, leading to Hepatic Lipidosis (Fatty Liver Disease).
This condition is life-threatening and can cause liver failure very quickly. Overweight cats are at the highest risk.
When to Worry
If your cat misses one meal, just monitor them. If they miss two meals or refuse food for 24 hours, call your vet immediately. Do not wait to see if they "get hungry enough."
Water is Even More Critical
Cats can survive longer without food than water, but dehydration also speeds up organ failure. A cat should not go without water for more than 12-24 hours.
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Conclusion
Never try to "starve out" a picky cat. If they aren't eating, there is always an underlying reason that needs veterinary attention.