Let denote a guerilla force and Y denote a conventional force. The autonomous system: is a Lanchestrian

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Let denote a guerilla force and Y denote a conventional force. The autonomous system:

dx dt dy dt = -gxy = -bx

is a Lanchestrian model for conventionalguerilla combat in which there are no operational loss rates and no reinforcements.

a. Discuss the assumptions and relationships necessary to justify the model. Does the model seem reasonable?

b. Solve the system and obtain the parabolic law

where M = gya -2bxo. gy = 2bx + M

c. What condition must be satisfied by the initial force levels xand y0 for the conventional Y force to win? If the Y force does win, how many survivors will there be?

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Related Book For  book-img-for-question

A First Course In Mathematical Modeling

ISBN: 9781285050904

5th Edition

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

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