Answer d.(iii) Question 4Suppose that the differential equationdyGdE = y(40-y) - 300models a logistic equation with harvesting, where you)represents a spotted grunter population in the KnysnaLagoon at time t, measured in years.усы17Write down the(a) per capita growth rate of the spotted grunterTEpopulation55(b) carrying capacity of the Lagoon.(c) rate at which the spotted bagoon grunter areharvested from the Leigeond14d) Determine theli criticell points of Eq. (3)(ii) limiting and threshole solutions from Eq. (3)(iii) stability of the critical points by drawing a phasediagram For Eq. (3)

Answered: Image /qna-images/answer/50f6b061-bdb9-4776-b3f1-c1d6f2e83cf0.jpg

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)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.7: Applications

Problem 16EQ

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