1: Initialize $S_{i,0}$, $E_{i,0}$, $I_{i,0}$, $E_{i,0}$ for all $i=1,2,...,N$.

2:for$t=1,2,...,T$do

3: for$i=1,2,...,N$do

4:  if$S_{i,t-1}=1$then

5:   Calculate ${\beta }_{i,j,t}^I$ and ${\beta }_{i,j,t}^E$

6:   Assign $E_{i,t}=1$ with probability ${\sum }_{j\in I}{\beta }_{i,j,t}^I+{\sum }_{j\in E}{\beta }_{i,j,t}^E$.

7:   Let $S_{i,t}=1-E_{i,t}$, and $I_{i,t}=0$, $R_{i,t}=0$.

8:  else if$E_{i,t-1}=1$then

9:   Assign $I_{i,t}=1$ with probability $\gamma$.

10:   Let $E_{i,t}=1-I_{i,t}$, and $S_{i,t}=0$, $R_{i,t}=0$.

11:  else if$I_{i,t-1}=1$then

12:   Assign $R_{i,t}=1$ with probability $\mu ={\mu }_r+{\mu }_d$

13:    Let $I_{i,t}=1-R_{i,t}$, and $S_{i,t}=0$, $E_{i,t}=0$.

14:  else

15:   Assign $R_{i,t}=1$, and $I_{i,t}=0$, $R_{i,t}=0$, $S_{i,t}=0$.

16:  ${\overline{p}}_t^X=(1/N){\sum }_{i\in \mathcal{N}}{X}_{i,t}$ for all $X\in \{S,I,E,R\}$.

return${\overline{p}}_t^X$ for all $t\in \{1,2,...,T\}$, and $X\in \{S,I,E,R\}$.