A New Approach to Global Stability of Discrete Lotka-Volterra Predator-Prey Models

Figure 2

Trajectories for five different initial points denoted by the black circles. The initial points are (0.5, 0.375, 0.3562), (1.15, 0.2125, 0.1281), (0.125, 1.5, 1.5), (1.5, 0.125, 0.2813), and (4, 0.5, 0.25), which are contained in regions , , , , and defined in (11), respectively. The brown dotted lines mean the trajectories which converge to , denoted by the magenta circle. The three planes are depicted in Figure 1.

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