Nonlinear Dynamics and Chaos
Nonlinear Dynamics and Chaos
2nd Edition
ISBN: 9780813349107
Author: Steven H. Strogatz
Publisher: PERSEUS D
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Chapter 2.3, Problem 4E
Interpretation Introduction

Interpretation:

Show that N˙N= r - a ( N - b )2 provides an example of the Allee effect, if r, a and b satisfy certain constraints, to be determined.

Finding all the fixed points of the system, and classify their stability.

Sketch the solutions N (t) for different initial conditions.

Comparison of the solution of the given system, and the logistic equation and their differences.

Concept Introduction:

For maximum f (N) < 0 and f (N) = 0 .

Fixed points are the points where N˙ = 0.

Species growth rate equation is N˙ = N f(N) = g(N).

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