Stability Analysis of a Multigroup Epidemic Model with General Exposed Distribution and Nonlinear Incidence Rates

Figure 3

Trajectories of 𝑆₁(𝑡),𝐼₁(𝑡),𝑆₂(𝑡), and 𝐼₂(𝑡) for 𝑅₀=1.67355>1, and 𝑃^∗= (0.347644, 0.0760948, 0.0760948, 4.51674, 0.330353, 0.0765909, 0.0765909, 4.4678) is globally stable. 𝑆₁(𝑡),𝑆₂(𝑡),𝐼₁(𝑡), and 𝐼₂(𝑡) versus 𝑡 are illustrated by (a), (b), (c), and (d). Initial values are 𝑆₁(0)=6,𝑆₂(0)=2,𝑦_1,1(0)=3,𝑦_1,2(0)=3,𝑦_2,1(0)=0.1,𝑦_2,2(0)=0.1,𝐼₁(0)=1.5, and 𝐼₂(0)=0.5.

(a)

(b)

(c)

(d)