Assuming equilibrium in the resource equation, i.e. dRdt=0 in Equation (1), and assuming resource abundance R is not zero, write R in terms of the population sizes of the consumers, N1 , N2 . (You can do pen-and-paper calculations or just plug the equation in WolframAlpha.) How does this equilibrium abundance of the resource compare to its equilibrium abundance in the absence of the consumers? Since we know how to write the resource population in terms of the consumer populations, we can replace R in Equation (2) and be left with only two unknown variables, namely the consumer populations. Replacing the expression for R you found in Q2 in Equation (2), we get: dN1dt=r1N1(1N1+12N2K1)dN2dt=r2N2(1N2+21N1K2)(3) Where we introduced a bunch of new constants, r1=b1Kd1r2=b2Kd2K1=r1b1a1KK2=r2b2a2K12=a2a121=a1a2(4) The model above is the Lotka-Volterra model of competition for two species. Notice that it has a distinctive resemblance to previous models of population growth we studied earlier in the course