The academics and the technicians of a university faculty are planning a paintball battle and the mathematicians are trying to predict their chances of winning with a continuous model. They are representing the numbers in the two teams at any time t as and respectively and have decided that the system to model the encounter should be dA/dt= -k2 T and dT/dt= -k1 A, where and are positive constants.
State clearly what assumptions are implicit in formulation of the system and say what the constants k1 and k2 represent.
The muscles and eyesight of the academics have of course suffered f

Question

The academics and the technicians of a university faculty are planning a paintball battle and the mathematicians are trying to predict their chances of winning with a continuous model. They are representing the numbers in the two teams at any time t as   and  respectively and have decided that the system to model the encounter should be dA/dt= -k2 T   and dT/dt= -k1 A,  where  and are positive constants.
State clearly what assumptions are implicit in formulation of the system  and say what the constants  k1 and k2 represent.
The muscles and eyesight of the academics have of course suffered f