In the basic Lanchester model (12.26), assume the two forces are of equal effectiveness, so a=b.

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In the basic Lanchester model (12.26), assume the two forces are of equal effectiveness, so a=b. The Y force initially has 50,000 soldiers. There are two geographically separate units of 40,000 and 30,000 soldiers that make up the X force. Use the basic model and result (12.20) to show that if the commander of the Y force fights each of the X units separately, he can bring about a draw.

Equation 12.26

dx dt dy dt = -ay -bx (12.26)

Equation 12.20

ay - bx = C (12.20)

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A First Course In Mathematical Modeling

ISBN: 9781285050904

5th Edition

Authors: Frank R. Giordano, William P. Fox, Steven B. Horton

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