Question

8. A fishery is afflicted by a bacterium at t = 0 that prevents the fish from reproducing. It is found that, subsequent to the infection, the per capita death rate in the fishery can be modeled by 8(t) = k. P(t) where k is a constant and P(t) is the population of fish in the fishery at time t > 0. If there are 1000 fish at at t = 0, which IVP will P(t) obey? A. P = -kP3/2; P(0) = 1000 D. None of these is obeyed. B. ? = -kP1/2; P(0) = 1000 c. ? = kP2; P(0) = 1

Answer 1

I. car The per capita death rate en the teshiry fisha be modeled by sce) = JPCE where it is a constant. Plt) es population of fish fishery at time t o in the now the date death rate in the fishery die de a krpris om et = - k{Pcs & -lu the Here we use are sign because et ass féshery is affected by a bacterian. also at tao, there are 1ooo fish in the fishery d'ope. PLOD = 1000 -1 .

Rom (4) & (2), we have de -kp: 260921000] This Irp will be obeyed by the fishery.