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

Figure 2

Numerical simulation of (45) with 𝑅₀=0.051<1; hence 𝑃₀=(3,0,0,0,3,0,0,0) 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)=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)