Consider a minimal threshold value for a species to survive, T. One way to add in this factor to the logistic model is to change the differential equation to P'(t) = rP 1 − P K 1 − T P . The population of mountain lions in Northern Arizona has an estimated carrying capacity of 250, grows at a rate of 0.25% per year, and there must be 25 for the population to survive. With an initial population of 30 mountain lions, how many years will it take to get the mountain lions off the endangered species list (at least 100)? (Round your answer to the nearest integer.) yr
Consider a minimal threshold value for a species to survive, T. One way to add in this factor to the logistic model is to change the differential equation to P'(t) = rP 1 − P K 1 − T P . The population of mountain lions in Northern Arizona has an estimated carrying capacity of 250, grows at a rate of 0.25% per year, and there must be 25 for the population to survive. With an initial population of 30 mountain lions, how many years will it take to get the mountain lions off the endangered species list (at least 100)? (Round your answer to the nearest integer.) yr
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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Consider a minimal threshold value for a species to survive, T. One way to add in this factor to the logistic model is to change the differential equation to
P'(t) = rP
1 −
1 −
.
| P |
| K |
| T |
| P |
The population of mountain lions in Northern Arizona has an estimated carrying capacity of 250, grows at a rate of 0.25% per year, and there must be 25 for the population to survive. With an initial population of 30 mountain lions, how many years will it take to get the mountain lions off the endangered species list (at least 100)? (Round your answer to the nearest integer.)
yr
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