Dynamics of Stochastically Perturbed SIS Epidemic Model with Vaccination

Figure 1

Computer simulation of the paths 𝑆(𝑡), 𝐼(𝑡), and 𝑉(𝑡) for the SDE SIS model (6) with vaccination and its corresponding deterministic model (1) for parameter values 𝐴=0.2, 𝑞=0.5, 𝛽=0.5, 𝜇=0.2, 𝑝=0.3, 𝛾=0.2, 𝜀=0.1, 𝛼=0.3, 𝜎₁=0.05, 𝜎₂=0.1, and 𝜎₃=0.05.

(a)

(b)