Theory and Modern Applications
Table 1 Parameters values of Γ, β , μ , and γ utilized for the resolution of the SIR multi-domains differential system ( 1 )-( 3 ), and then leading to simulations obtained from Figure 1 to Figure 4 , with the initial conditions \(\pmb{S_{0}}\) , \(\pmb{I_{0}}\) , and \(\pmb{R_{0}}\) associated to the two regions \(\pmb{\Omega_{1}}\) and \(\pmb{\Omega_{2}}\)
|  | S (0) | I (0) | R (0) | Γ | β | μ | γ |
|---|---|---|---|---|---|---|---|
\(\Omega_{1}\) | 10,000 | 200 | 0 | 100 | 0.04 | 0.012 | 0.002 |
\(\Omega_{2}\) | 9,000 | 100 | 0 | 180 | 0.05 | 0.013 | 0.001 |