Question

Assume there is a certain population of fish in a pond whose growth is described by the logistic equation. It is estimated that the carrying capacity for the pond is 1900 fish. Absent constraints, the population would grow by 130% per year. 300, then after one breeding season the If the starting population is given by Po population of the pond is given by P1 = After two breeding seasons the population of the pond is given by P2 = Question Help: 0 Video Video Submit Question

Answer 1

Given Cestimated Capacity for the pond is 1900 fish The population would grow by 130% er Year T= 130°). 10 we know the logistic growth Elmashion $ Pr = Proir (1 - Panl) Prol chal r=rall of growth. k= Capacity to initial population which giver os Po=300 modely to logistic growth for nesel Year Pa = Pot (1-4). =) 300+13 (13790) 300 5) 300 +3 / 1900-300 003 300 1900 300+ 1-3 600 300 1988 =1300+13 423. | 0-315782300 =) 300+13494.736 -736842) 300 + 123.1578 4 =) 423.157 Piz When rou an 423-157

pond after 2 y. Season Popuohony B2 Pitt (1 P.) Pi PoE 493.15 +1.3/1-493-15° P1 - 493.15 Y-1.3 10- 1900 1900 493.15 49315713 1900-433.15 1900 = 42315+1-311476.85 1900 142315 423.15 - 423.15+1.31 10.777289 1493.15 423.15+1.3 1-9 [138-9107 -) 423.157 427.5830 850.733 N 85) P = 850.733 ~85)