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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:
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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MATLAB: An Introduction with Applications
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage