This study develops deterministic forms of Lanchester-type equations modeling small-force guerrilla engagements that are typical of the early stages of insurgency. Three types of appropriate military activity are identified and treated mathematically: skirmish, ambush, and siege. In addition to the usual treatment of casualty production, these models include the effects of troop morale, troop captures, and supporting weapons. Since the descriptive equations are not amenable to closed-form solution, numerical results for illustrative parameters are obtained.
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