Question

In 1980 the population of alligators in a particular region was estimated to be 1600. In 2004 the population had grown to an estimated 6000 Using the Malthusian law for population growth, estimate the alligator population in this region in the year 2020 The alligator population in this region in the year 2020 is estimated to be (Round to the nearest whole number as needed)

Answer 1

To use the Malthusian law of population growth, first we set up the problem. If we det Plt) denote the population at time t then, - according to Malthusian law, kt Plt) Р. е. Where Po denotes the population at time t=o. Now in the given problem, we take t=0 to be the year 1980. Thing Now Po = P(0) population in 1980 = 1600 and in 2004 , t will be a4 , so P(24) = 6000 using the informations in @ we we get plota H00 #od NOW kt Plt) le 1600 e K.24 = 1600 e 24K -1600.e f P(24) -) 6000 24K e =) 6ooo lbou bool Khan in 18 Thus PORD) population est in the year 2020 is

K.40 P (40) = Poe 1600 e 24 In 15 x 40 e s glo 15 & in 1600. 4 e P (40) 14981.9 w p(90) 14.482 Thus the population in the year 2020 is estimated 14,482, to be