Extinction of Disease Pathogenesis in Infected Population and Its Subsequent Recovery: A Stochastic Approach

Table 2

Possible changes in the two-population system (4) with the probabilities.

Change	Probability
Δ𝑥1=[1,0]^𝑇	𝑝1=((𝑏1−𝑏2(𝑆+𝐼))𝑆+𝛿𝐼)Δ𝑡
Δ𝑥2=[−1,0]^𝑇	𝑝2=(𝑑1+𝑑2(𝑆+𝐼))𝑆Δ𝑡
Δ𝑥3=[−1,1]^𝑇	𝑝3=𝜆+𝛼/𝛽+𝑆𝑆𝐼Δ𝑡
Δ𝑥4=[0,−1]^𝑇	𝑝4=(𝑑𝐼+𝛿)𝐼Δ𝑡