Not including cats being brought in after the initial import:
I assumed that cats can breed after 6 months, with a 6 month gestation (wrong, but computationally easier). Assuming that every cat brought over originally was 6 months old, then 6 months in all 25 female cats give birth to 4 kittens, 2 male, 2 female). That gives you 150 cats after 6 months. 6 months later, the original 25 give birth again to another 100 cats, 50 of them female, 50 of them male, giving you 250 cats in all. Another 6 months and the first lot of offspring breed as well, giving you 650 cats in total. This continues.
After 4.5 years, your original cats die off, but you still have 127200 cats in total. This number increases exponentially, so after 8 years, you have 60453650 cats... yes, that's 60 million cats. This is where I stopped, given that I don't think you want a figure that unrealistic.
And remember, this didn't include bringing in extra cats each year.
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dancing_serpent
(no subject)
Date: 2006-02-06 04:10 pm (UTC)Not including cats being brought in after the initial import:
I assumed that cats can breed after 6 months, with a 6 month gestation (wrong, but computationally easier). Assuming that every cat brought over originally was 6 months old, then 6 months in all 25 female cats give birth to 4 kittens, 2 male, 2 female). That gives you 150 cats after 6 months. 6 months later, the original 25 give birth again to another 100 cats, 50 of them female, 50 of them male, giving you 250 cats in all. Another 6 months and the first lot of offspring breed as well, giving you 650 cats in total. This continues.
After 4.5 years, your original cats die off, but you still have 127200 cats in total. This number increases exponentially, so after 8 years, you have 60453650 cats... yes, that's 60 million cats. This is where I stopped, given that I don't think you want a figure that unrealistic.
And remember, this didn't include bringing in extra cats each year.