Dynamic Behaviors of an SEIR Epidemic Model in a Periodic Environment with Impulse Vaccination

Figure 1

Dynamical behavior of system (2) with 𝜆(𝑡)=10, 𝛼(𝑡)=0, 𝛽(𝑡)=𝜇(𝑡)=0.001, 𝜀(𝑡)=𝛾(𝑡)=0.8, 𝑇=𝜔=1, 𝜃₁=0.1, and 𝑟(Φ_𝐹−𝑉(𝜔))≃0.8026. (a) Time series of 𝑆(𝑡). (b) Time series of 𝐼(𝑡).

(a)

(b)