This first appeared in the ecological literature in the 1920s and is defined not just in terms of the interactions among species, but also in terms of the species’ carrying capacities, as follows. The...This first appeared in the ecological literature in the 1920s and is defined not just in terms of the interactions among species, but also in terms of the species’ carrying capacities, as follows. The confusion in the literature has apparently emerged from the presence of the carrying capacity terms, K 1 and K 2 , in the Lotka–Volterra formulation.
Likewise, the graph on the right describes the predator, because its numbers, N 2 , increase with the density of its prey, N 1 . The equations of growth are revealed by the slopes and intercepts of th...Likewise, the graph on the right describes the predator, because its numbers, N 2 , increase with the density of its prey, N 1 . The equations of growth are revealed by the slopes and intercepts of the two lines. The prey growth rate, 1N1dN1dt, is negative at N 2 = 2 (the line is below the horizontal axis) and the predator growth rate, \(\frac{1}{N_1}\frac{dN_2}{dt}, is positive at N 1 = 2 (the line is above the horizontal axis).