a Assuming that the single weapon attrition rates a and b in Equations (12 26) are constant over time, discuss the submodels Equation 12 26 where r y and r x are the respective firing rates (shots combatant day) of the Y and the X forces, and p y and p x are the respective probabilities that a sing...

Lets discuss the submodels represented by Equations 1226 and 1227 in the context of attrition rates ...

a. Assuming that the single-weapon attrition rates a and b in Equations (12.26) are constant over time,

Question:

a. Assuming that the single-weapon attrition rates a and b in Equations (12.26) are constant over time, discuss the submodels:

Equation 12.26

dx dt dy dt = -ay -bx

where r_y and r_xare the respective firing rates (shots/combatant/day) of the Y and the X forces, and p_y and p_x are the respective probabilities that a single shot kills an opponent.

b. How would you model the attrition-rate coefficients g and h in Model (12.27)? It may be helpful to think of Equations (12.27) as modeling guerilla–guerilla combat.

Equation 12.27

dx dt dy dt = -gxy = -hyx