Question

Six hundred fish of a non-native species is introduced to an isolated pond. After t = 2 years, there are 900 of these fishes in the pond.

The pond can support up to 4500 of these fishes. Model this behavior using logistic growth (i.e. find the formula for the number of fish after t years
assuming that the population growth obeys the logistic growth formula).

Answer 1

Answers non-native Given that Six Hundred fish of species introduced to an isolated pond after a year → The pond can support up to = 4500 → lef Populaction of fish after time it be Me) population growth rate in change with time 't be population de carying capacity - maximum per capacity grooth rater In dagistic growth equastion K, de constant dr at K-N INC lagistic grooth model equation & at AN NCE-N) =) / 2 ( 1 / 4 + 1/ ) dal = 2 / dt

del = ridt NE in - nt te N-b Now N10=600 N (2) E4500 / on loo- 700740 3900 - c- In (2/3) =) In 1 - 1 1 - - 12/2) 25t (N60) = 600 ) In N .) – en (2/3) = st 4500-N 1311 G =rt 2000-2N Now N(e) = 900 en ( 13 x 900 = 27 9000 - 26200)

Inc H. In ( 16057 22 2. 0.242 The populartion of fish W (c) of the years ) 0.24+ 700 - 21 131 po 24 t 700 - 2N 2000-2N -0.24t e 13N 000 7 to 0.24t 13,7 Mt / - 9000 -0.24t 2 f/3 e