Another model for competition arises when, in the absence of a second species, the first grows logistically

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Another model for competition arises when, in the absence of a second species, the first grows logistically and the second exponentially:
dx//dt = ax (l -bx.) - cxy,
dy/dt = dy - exy.
Show that for this model coexistence is impossible.
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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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