Concepts of Mathematical Modeling (Dover Books on Mathematics) by Meyer Walter

Author:Meyer, Walter [Meyer, Walter]
Language: eng
Format: mobi
ISBN: 9780486137247
Publisher: Dover Publications
Published: 2011-09-11T16:00:00+00:00

(a) If rabbits never die, how many pairs are there at time t for t = 0, 1,..., 10. (These numbers form what is called the Fibonacci sequence.)

(b) If ft denotes the tth term of the Fibonacci sequence, show that ft = ft—1 + ft—2.

(c) Use a computer to compute the values of for t = 0, 1,..., 20 and show that this formula yields the terms of the Fibonacci sequence for t = 0, 1,..., 20.

17 Answer the questions posed in this section after the statement of the Dismal Theorem.

18 Explain why an initially unchecked population may begin to be restrained before t* (see Figure 5).

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