Figure 2: Cobweb plot for the patch occupancy model.
From: Competition–colonization dynamics in experimental bacterial metacommunities
Patch occupancies after one transfer (P1 for strain 1 and P2 for strain 2 at t +1) are functions of their current values through the probability of successful colonization following dispersal (f1 and f2). The equilibrium is stable provided that f is concave (f′′<0), and under this condition, the persistence conditions are f′1(0)>1 for strain 1 and f2′(0)>1/(1−P1) for strain 2. One can determine the equilibrium occupancy of the competitor (P1) and, subsequently, the equilibrium occupancy of the colonizer (P2), given P1.
