On the Dynamical Complexity of a Seasonally Forced Discrete SIR Epidemic Model with a Constant Vaccination Strategy

Figure 1

(a) 3D bifurcation diagram corresponding to the dynamical variables and , with the time step as the control parameter. (b) Dynamics of the variable , taking also as the bifurcation parameter. (c) Variation of the maximal Lyapunov exponent of the system (5) with . In all the previous situations and . The displayed region corresponds to the interval of values , , and is associated with noticeable features of the dynamical behavior of , as we will see in our study below.

(a)

(b)

(c)