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Dynamics of a discrete-time plant-herbivore model

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Figure

Figure 1. Phase portrait for system (1) with r = 1.75and initial values x0 = 0.1, y0 = 0.9, (a) a = 4, (b) a =2, (c) a = 1.5, (d) a = 0.5.
Figure 2. Phase portrait for system (1) with r = 1.75and initial values x0 = 0.1, y0 = 0.9, (a) a = 4, (b) a =2, (c) a = 1.5, (d) a = 0.5.
Figure 4. Bifurcation diagram for system (3) with a =1, initial values x0 = 0.2, y0 = 0.78, and ε = 0.3 (left),ε = 0.5 (right).

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