Awakened Oscillations in Coupled Consumer-Resource Pairs
Figure 1
Phase portraits of an isolated CR system (2a) and (2b) for two cases when the unique stable equilibrium (3b) is a node (a), and a focus (b). Shown are vertical () and horizontal () nullclines. Steady states are marked by open circles. Numerical simulations have been carried out with data from Table 2. The respective values of the second order loss parameter in (a) and (b) are and . Typically, consumer scale () is enormous; the equilibrium point happens to lie very close to the origin. For better appearance, henceforward we display all the graphs using coordinate transformation and . (c) Eigenvalues of (4) at (3b) as a function of the second order loss . Critical value indicates a boundary between the regions of damped oscillations and aperiodic damping.
