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

Figure 4

Numerical simulation of (45) with 𝑅₀=1.67355>1; hence 𝑃^∗= (0.347644,  0.0760948,  0.0760948,  4.51674,  0.330353,  0.0765909,  0.0765909,  4.4678) is globally stable. Graphs (a) and (b) illustrate that 𝑆₁(𝑡),𝑦_1,1(𝑡),𝑦_1,2(𝑡), and 𝐼₁(𝑡) will eventually towards to steady state. Graphs (c) and (d) illustrate that 𝑆₂(𝑡),𝑦_2,1(𝑡),𝑦_2,2(𝑡), and 𝐼₂(𝑡) will eventually towards to steady state. 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)