A SIRS Epidemic Model Incorporating Media Coverage with Random Perturbation

Figure 2

The asymptotic behavior of the solutions to the stochastic model (47) around the endemic equilibrium 𝐸^∗ with initial values 𝑆(0)=85, 𝐼(0)=15, and 𝑅(0)=0. The parameters are taken as (20).

(a) 𝜎₁=0.025,𝜎₂=0.1,𝜎₃=0.05

(b) 𝜎₁=0.18,𝜎₂=0.18,𝜎₃=0.22