EBK MATLAB: AN INTRODUCTION WITH APPLIC
EBK MATLAB: AN INTRODUCTION WITH APPLIC
5th Edition
ISBN: 8220102007642
Author: GILAT
Publisher: YUZU
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Chapter 10, Problem 18P

The Verhulst model, given in the following equation, describes the growth of a population that is limited by various factors such as overcrowding and lack of resources:

N ( t ) = N 1 + N N 0 1 e r t

where N(t) is the number of individuals in the population. N0is the initial population size, N8is the maximum population size possible due to the various limiting factors, and r is a rate constant. Make a surface plot of N(t) versus t and N assuming r = 0.1 s-l, and N0= 10. Let t vary between 0 and 100 and N8between 100 and 1,000.

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