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Fig. 7 | SpringerPlus

Fig. 7

From: Competition for resources: complicated dynamics in the simple Tilman model

Fig. 7

For stable coexistence of the consumers not only the supply of the resource must suffice, but also each consumer should consume resources in a ratio that favours the competitor. If such is not the case, the coexistence point is a saddle. With the supply point inside the wedge there are two stable states, each with only one consumer present. Which consumer survives depends entirely on the initial state. In a, b after moving to the trivial state and the coexistence point only the B survives. For a different initial state the system develops to a situation in which A eventually prevails. The trajectories as shown seem to coincide partially. This occurs because only the phase plot projected onto the PR-plane is given. In the full phase space, including the state variables A and B, the basins of the two stable equilibria do not overlap

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