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Question 4 Suppose that the differential equation dy d£ = y(40-y) - 300 models a logistic equation with harvesting, where you) represents a spotted grunter population in the Knysna Lagoon at time t, measured in years. Write down the (a) per capita growth rate of the spotted grunter population (b) carrying capacity of the Lagoon. () rate at which the spotted Lagen grunter are harvested from the Lagoon e) Determine the I criticell points of Eq. (3) (ii) limiting and threshold solutions From Eq. (3) (ii) stability of the critical points by drawing a phase c Luam For Fau(3)

Question 4 Suppose that the differential equation dy d£ = y(40-y) - 300 models a logistic equation with harvesting, where you) represents a spotted grunter population in the Knysna Lagoon at time t, measured in years. Write down the (a) per capita growth rate of the spotted grunter population (b) carrying capacity of the Lagoon. () rate at which the spotted Lagen grunter are harvested from the Lagoon e) Determine the I criticell points of Eq. (3) (ii) limiting and threshold solutions From Eq. (3) (ii) stability of the critical points by drawing a phase c Luam For Fau(3)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Answer d.(iii)

Question 4 Suppose that the differential equation dy G dE = y(40-y) - 300 models a logistic equation with harvesting, where you) represents a spotted grunter population in the Knysna Lagoon at time t, measured in years. усы 17 Write down the (a) per capita growth rate of the spotted grunter TE population 55 (b) carrying capacity of the Lagoon. (c) rate at which the spotted bagoon grunter are harvested from the Leigeon d 14 d) Determine the li criticell points of Eq. (3) (ii) limiting and threshole solutions from Eq. (3) (iii) stability of the critical points by drawing a phase diagram For Eq. (3)
Transcribed Image Text:Question 4 Suppose that the differential equation dy G dE = y(40-y) - 300 models a logistic equation with harvesting, where you) represents a spotted grunter population in the Knysna Lagoon at time t, measured in years. усы 17 Write down the (a) per capita growth rate of the spotted grunter TE population 55 (b) carrying capacity of the Lagoon. (c) rate at which the spotted bagoon grunter are harvested from the Leigeon d 14 d) Determine the li criticell points of Eq. (3) (ii) limiting and threshole solutions from Eq. (3) (iii) stability of the critical points by drawing a phase diagram For Eq. (3)
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