Fig. 10.

In the left panel we present the cumulative cases solutions for Model II with $t=2\tau$ (time in days), $D=1$, $\mathbf{x}={\mathbf{x}}^{\prime }$, ${\rho }_0=10^2$, $\alpha =2.90\times 10^3$, $s=1$, $\lambda =0.72\times 10^{-1}$, $z=50$, ${\tau }^{\prime }=50$, ${\tau }_1=69$, $J_1=9.24$, ${\tilde{\rho }}_0=1$, and $\sigma =6$ (black solid curve). We also depicted the cumulative cases data from the city of São Paulo (blue dots), since February 25 (day 1), 2020 until August 02, 2020 (day 160) [33]. In the right panel we present the cumulative cases solutions for Model II with $t=2\tau$ (time in days), $D=1$, $\mathbf{x}={\mathbf{x}}^{\prime }$, ${\rho }_0=10$, $\alpha =-117.38$, $s=1$, $\lambda =0.82\times 10^{-1}$, $z=50$, ${\tau }^{\prime }=85$, ${\tau }_1=77.5$, $J_2=-9.24$, ${\tilde{\rho }}_0=1$, and $\sigma =6$ (red solid curve). Besides, we depicted the cumulative cases data from the city of São José dos Campos (blue dots), since March 18 (day 1), 2020 until August 02, 2020 (day 137) [33].