Hopf Bifurcation of a Delayed Epidemic Model with Information Variable and Limited Medical Resources

Figure 2

(a)–(d) showed that equilibrium 𝐸^∗ of system (8) with initial condition 𝑆(0)=2; 𝐼(0)=2; 𝑍(0)=4.5; 𝑅₀=3.0303>1; and 𝜏=1.56<𝜏^∗ is locally asymptotically stable; that is, the trajectory converges to the positive equilibrium at 𝜏=1.56.

(a) Time series of 𝑆(𝑡) of the system

(b) Time series of 𝐼(𝑡) of the system

(c) Time series of 𝑍(𝑡) of the system

(d)