In Problems 11 and 12, we consider the effect of modifying the equation for the prey
Consider the system
Where
a) Find all critical points of the given system. How does their location change as
b) Determine the nature and stability characteristics of each critical point.
c) Show that there is a value of
d) Describe the effect on the two population as
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Chapter 7 Solutions
Differential Equations: An Introduction to Modern Methods and Applications
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