This problem deals with the differential equation dx/dt = kx(x - M) - h that models the
Question:
This problem deals with the differential equation dx/dt = kx(x - M) - h that models the harvesting of an unsophisticated population (such as alligators). Show that this equation can be rewritten in the form dx/dt = kx(x - H)(x - K), where
Show that typical solution curves look as illustrated in Fig. 2.2.15.
Transcribed Image Text:
H= = ½ ( M + √M² + 4h/k) > 0, (M-√ M² +4h/k) <0. K = (M
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Related Book For
Differential Equations And Linear Algebra
ISBN: 9780134497181
4th Edition
Authors: C. Edwards, David Penney, David Calvis
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