Analyze the stability of the positive equilibrium in the model from Exercise 44 when = 4,
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Right at a bifurcation point, the stability theorem fails because the slope of the rate-of-change function at the equilibrium is exactly zero. In each of the following cases, check that the stability theorem fails, and then draw a phase-line diagram to find the stability.
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With 4 the differential equation is dIdt 4I 2 1 I I The equilibria are I 0 and I 12 The ...View the full answer
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Related Book For 
Modeling the Dynamics of Life Calculus and Probability for Life Scientists
ISBN: 978-0840064189
3rd edition
Authors: Frederick R. Adler
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