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(40 points) 1. Answer Yes or No to each of the following questions. Justify your answer in one or two sentences. (a) In the Logistic model dN = IN(1 -NIK) (r,K > 0), N' = K is always a di stable fixed point. (b) In the discrete-time Ricker model N,,. = N,, exp[r(1 - N,, / K]) (r, K > 0), N' = K is always a stable fixed point. (c) If the dynamics of a population is described by N,,., = rNV,, (where N, is the total number or the size of the population at n-th generation and r20 is a constant), then the population can only grow exponentially. (d) If the following equations describe two interacting species, then the two species must be competing with each other dN IN - NN, dt dN2 =r, N, + NIN 2 dt where all parameters are positive valued