| Please help me work out how many cats I'll end up with in a set period.?
Things don't exactly line up right, so let me make a few modifications on the cautious side.First, I will refer to the kittys as male/female (breeding) pairs. Since 5 per litter is odd, I will change each litter to 2 pair of kittens (4 total).Also, I will change the maturation period to 8 months, that is, a pair of cats' first offspring will be born eight months after their birth.The breakdown is done in four-month periods, and is composed of three numbers: # of newborn pairs, # of 4-month pairs, # of adult pairs.Now# of newborn pairs → # of 4-month pairs the next period# of 4-month pairs + # of adult pairs → # of adult pairs the next period.2 * (# of 4-month pairs + # of adult pairs) → # of newborn pairs the next period.We start with one pair of 4-month kittens.0, 1, 0 (← year 0)2, 0, 12, 2, 16, 2, 3 (← year 1)10, 6, 522, 10, 1142, 22, 21 (← year 2)86, 42, 43170, 86, 85342, 170, 171 (← year 3)682, 342, 3411366, 682, 6832730, 1366, 1365 (← year 4)That's 5461 pair of cats (10922 total), after 4 years, i.e. population explosion.For the adult pairs, # of adults in nth generation= # of adults in (n-1)th generation + 2*(# of adults in (n-2)th generation)(e.g. 85 = 43 + 2*21)The newborn pairs is twice the adult pairs, and the four-month pairs are the newborns from 4 months prior.I guess someone should check my work lolThis is just a model. There are many factors not included here, in particular mortality/infertility rates.Hope this helps.♣ ♣
|