Mathematical Analysis of an Epidemic-Species Hybrid Dynamical System

Figure 5

Bifurcation of the system (7): bifurcation parameter is chosen as the virus replication factor , where other parameters are , , , , , , and . Horizontal axis represents the bifurcation parameter and vertical axis represents the positive equilibrium state of the susceptible pest; the full line represents stable equilibrium state and the dotted line represents unstable equilibrium state; the small dots represent the maximum and the minimum amplitude of limit cycle bifurcating from the positive equilibrium and the Hopf bifurcation appears at .