Bifurcation Behavior Analysis in a Predator-Prey Model

Figure 2

Phase portraits for different concomitant case of the model’s equilibria. The horizontal axis is prey population and the vertical axis is predator population . The green curves are stable or unstable orbits; the red point is the equilibrium point. We take , , , in (a–c), and in (d–h).

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)