
Concept explainers
Interpretation:
To show there is always unstable fixed point at
Concept Introduction:
To check the stability at any point, differentiate the equation and put the value in it.
For small value of x predation is very weak, thus the budworm population increases exponentially, when

Answer to Problem 1E
Solution:
Instability at
Explanation of Solution
Given information:
The given expression is dimensionless for budworm population growth
Where
To check the stability of the equation at
By substituting
Given condition is
This result is also verified by plotting graph for equation
From the above graphs, it is clear that for
For the given type of system, there is always an unstable fixed point at
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Chapter 3 Solutions
Nonlinear Dynamics and Chaos
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