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Lecture

9.4 Population Growth Model Overview

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Department
Mathematics
Course
MAT136H1
Professor
All Professors
Semester
Winter

Description
9.4 Differential Equations Population Growth Model: Overview Differential equation can be used to model population growth based on the law of natural growth, logistic equation and a few other applications. The Law of Natural Growth Assumption: population grows at a rate proportional to the population size: , where ( ) is the value of at time , and is a constant. For , population increases; for , population decreases. Taking integral of both sides of the differential equati∫n: ∫ ; , where representing an arbitrary constant. Thus, ( ) , meaning the initial population. Rewriting the equation means the relative growth rate is co
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