I've have an animal class

class Animal
{
    public function eat(Food $food);
}

the subclass who inherit it actually cannot support all kinds of Food (Cat can only eat meat):

class Cat extends Animal
{
    public function eat(Food $food)
    {
        if (!$food instanceof Meat) throw new InvalidArgumentException();
    }
}

of course, Meat is a subclass of Food

So is this code violate LSP (I think it does)? and how to re-design it?