Consider the systemdx/dt = x(a x y), dy/dt = y(c +
Chapter 9, Problem 12(choose chapter or problem)
Consider the systemdx/dt = x(a x y), dy/dt = y(c + x),where a, , , c, and are positive constants.(a) Find all critical points of the given system. How does their location change as increases from zero? Assume that a/ > c/, that is, < a/c. Why is this assumptionnecessary?(b) Determine the nature and stability characteristics of each critical point.(c) Show that there is a value of between zero and a/c where the critical point in theinterior of the first quadrant changes from a spiral point to a node.(d) Describe the effect on the two populations as increases from zero to a/c.
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer