Consider a situation of two populations competing according to the simpler model dx/dt = x(a - by),
Question:
dx/dt = x(a - by),
dy/dt = y(c -dx).
Where a, b, c. and d are positive constants. Find and sketch the equilibrium points and the nullclines, and determine directions of the vector field between the nullclines. Then determine the stability of the equilibrium points, and sketch the phase portrait of the system.
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x xa by y yc dx Setting x 0 we find the nullclines are t...View the full answer
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Related Book For
Differential Equations and Linear Algebra
ISBN: 978-0131860612
2nd edition
Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West
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