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The population, y(t) (in thousands) of rabbits on an island has an intrinsic growth rate of 28% per year (ie that's the rate it would grow absent limiting factors). However the population has a carrying capacity (aka saturation level or maximum sustainable population) of 9 thousand rabbits. Additionally, in order to have sufficient genetic diversity, the population must stay above a threshold (aka minimum sustainable population) of 4 thousand rabbits. Write a differential equation for the population of rabbits.

The population, y(t) (in thousands) of rabbits on an island has an intrinsic growth rate of 28% per year (ie that's the rate it would grow absent limiting factors). However the population has a carrying capacity (aka saturation level or maximum sustainable population) of 9 thousand rabbits. Additionally, in order to have sufficient genetic diversity, the population must stay above a threshold (aka minimum sustainable population) of 4 thousand rabbits. Write a differential equation for the population of rabbits.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The population, y(t) (in thousands) of rabbits on an island has an intrinsic growth rate of 28% per year (ie that's the rate it would grow absent limiting factors). However the population has a carrying capacity (aka saturation level or maximum sustainable population) of 9 thousand rabbits. Additionally, in order to have sufficient genetic diversity, the population must stay above a threshold (aka minimum sustainable population) of 4 thousand rabbits. Write a differential equation for the population of rabbits. dy Preview dt ||
Transcribed Image Text:The population, y(t) (in thousands) of rabbits on an island has an intrinsic growth rate of 28% per year (ie that's the rate it would grow absent limiting factors). However the population has a carrying capacity (aka saturation level or maximum sustainable population) of 9 thousand rabbits. Additionally, in order to have sufficient genetic diversity, the population must stay above a threshold (aka minimum sustainable population) of 4 thousand rabbits. Write a differential equation for the population of rabbits. dy Preview dt ||
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