EBK NONLINEAR DYNAMICS AND CHAOS WITH S
EBK NONLINEAR DYNAMICS AND CHAOS WITH S
2nd Edition
ISBN: 9780429680151
Author: STROGATZ
Publisher: VST
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Chapter 3.7, Problem 3E
Interpretation Introduction

Interpretation:

To show that the system can be rewritten in dimensionless form for fishery model as dx = x (1-x) - h for dimensionless quantities x, τ, and h. Plot the vector field for different values of h. Show that a bifurcation occurs at certain value hc, and classify this bifurcation. Discuss the long-term behavior of fish population for h < hc and h > hc, and give biological interpretation in each case.

Concept Introduction:

Express the equation in dimensionless form using the dimensionless parameter h.

Plot the graph, and determine bifurcation.

Discuss the cases h < hc and h > hc with dimensionless parameters.

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