Consider the three-species ecosystem
dF/dt = F(-a + bR - k_1G)
dR/dt = R(c - dF - k_2G)
dG/dt = G(k + k_3F - k_4R),
assuming all coefficients are positive constants.
A. If G = 0, show that this represents a predator-prey situation. (Which species is the predator, and which is the prey ?)
B. If G 0, explain in ecological terms, the interactions of species with species R and F.