Lanchester Equations

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Definition: Lanchester Equations

Lanchester Equations captures the relative attrition of the two forces. The same had been shown by a set of differential equations.

Suppose A and B are two entities that are depleting against each other than the rate of depletion is not simply equal to the consumption rate but to a certain factor corresponding to each of them .The following is a mathematical representation of the same.

Formula:

dA/dt = -βB

dB/dt = -αA


Brief history-Lanchester in UK devised aformula near the First World War when there was an assumption that the number of soldiers left after a war would be equal to the difference of the soldiers.


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