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

Figure 1

Trajectories of 𝑆₁(𝑡),𝐼₁(𝑡),𝑆₂(𝑡), and 𝐼₂(𝑡) for 𝑅₀=0.051<1, and 𝑃₀=(3,0,0,0,3,0,0,0) 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)=9,𝑆₂(0)=1,𝑦_1,1(0)=2,𝑦_1,2(0)=2,𝑦_2,1(0)=0,𝑦_2,2(0)=0,𝐼₁(0)=6, and 𝐼₂(0)=2.

(a)

(b)

(c)

(d)