Question 4 Suppose that the differential equation dy dt = y(40-y) - 300 models a logistic equation with harvesting, where y(t) 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. (e rate at which the spotted Lagoon grunter are harvested from the Lagoon Y#1 =107 (6) d

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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Question 4
Suppose that the differential equation
dy
dE = y(40-y) - 300
models & logistic equation with harvesting, where y(t)
represents a spotted grunter population in the Knysna
Lagoon at time t, mecured in years.
Write down the
(a) per capita growth rate of the spotted grunter
population
(b) carrying capacity of the Lagoon.
(o rate at which the spotted bagoon grunter are
harvested from the Lagoon
65
Transcribed Image Text:Question 4 Suppose that the differential equation dy dE = y(40-y) - 300 models & logistic equation with harvesting, where y(t) represents a spotted grunter population in the Knysna Lagoon at time t, mecured in years. Write down the (a) per capita growth rate of the spotted grunter population (b) carrying capacity of the Lagoon. (o rate at which the spotted bagoon grunter are harvested from the Lagoon 65
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