A biologist noticed that a small forest has a population of deer that naturally grows according to the logistic model y' = 0.0005y(300 – y) where y is the number of deer at time t measured in months. The carrying capacity of this forest is deer. In January 2021, a disease began killing the deer at a rate of 10 deer per month. If there were 110 deer in the pond when the biologist first noticed the disease (at time t = 0)), then the number of deer w and reach in increase the long run. decrease After many months, the biologist finds that the disease is not affecting the deer as much and fewer deer are dying from it each month. The deer population has rebounded and is now at a stable size of 270. Based on this, the biologist is able to estimate that, rounding to the nearest deer, only deer are being killed by the disease each month.

A biologist noticed that a small forest has a population of deer that naturally grows according to the logistic model y' = 0.0005y(300 – y) where y is the number of deer at time t measured in months. The carrying capacity of this forest is deer. In January 2021, a disease began killing the deer at a rate of 10 deer per month. If there were 110 deer in the pond when the biologist first noticed the disease (at time t = 0)), then the number of deer w and reach in increase the long run. decrease After many months, the biologist finds that the disease is not affecting the deer as much and fewer deer are dying from it each month. The deer population has rebounded and is now at a stable size of 270. Based on this, the biologist is able to estimate that, rounding to the nearest deer, only deer are being killed by the disease each month.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 9T

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