Concept explainers
Rumor spread–Gompertz growth model. The rate of propagation of a rumor is assumed to satisfy the Gompertz growth model
where N(t) is the number of individuals who have heard the rumor at time t.
(A) Show that
(B) Graph the particular solutions that satisfy N(0) = 100 and N(0) = 200.
(C) Discuss the effect of the value of N(0) on the long-term propagation of this rumor.
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Calculus for Business, Economics, Life Sciences, and Social Sciences - Boston U.
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage