Investigation of time-fractional mathematical model of COVID-19 with nonsingular kernel

Figures & data

Figure 1. Dynamical behavior of the compartments involved in the fractional COVID-19 model (3)(3) $$\{\begin{array}{cc}{}^{\mathcal{A}\mathcal{B}\mathcal{C}}{\mathbb{D}}_t^{\theta }(\mathbf{S}(t))\hfill & ={\Pi }^{*}-({\beta }_1^{*}{\mathbf{I}}_h(t)+{\beta }_2^{*}\mathbf{W}(t)+d^{*}){\mathbf{S}}_h(t),\hfill \\ {}^{\mathcal{A}\mathcal{B}\mathcal{C}}{\mathbb{D}}_t^{\theta }(\mathbf{I}(t))\hfill & =({\beta }_1^{*}{\mathbf{I}}_h(t)+{\beta }_2^{*}\mathbf{W}(t)+d^{*}){\mathbf{S}}_h(t)\hfill \\ \hfill & -({\sigma }^{*}+d^{*}+d_1^{*}){\mathbf{I}}_h(t),\hfill \\ {}^{\mathcal{A}\mathcal{B}\mathcal{C}}{\mathbb{D}}_t^{\theta }(\mathbf{R}(t))\hfill & ={\sigma }^{*}{\mathbf{I}}_h(t)-d^{*}{\mathbf{R}}_h(t),\hfill \\ {}^{\mathcal{A}\mathcal{B}\mathcal{C}}{\mathbb{D}}_t^{\theta }(\mathbf{W}(t))\hfill & ={\alpha }^{*}{\mathbf{I}}_h(t)-{\eta }^{*}\mathbf{W}(t),\hfill \end{array}$$(3) at arbitrary fractional orders.

Figure 2. Combine plots of each class in our fractional coronavirus model (3)(3) $$\{\begin{array}{cc}{}^{\mathcal{A}\mathcal{B}\mathcal{C}}{\mathbb{D}}_t^{\theta }(\mathbf{S}(t))\hfill & ={\Pi }^{*}-({\beta }_1^{*}{\mathbf{I}}_h(t)+{\beta }_2^{*}\mathbf{W}(t)+d^{*}){\mathbf{S}}_h(t),\hfill \\ {}^{\mathcal{A}\mathcal{B}\mathcal{C}}{\mathbb{D}}_t^{\theta }(\mathbf{I}(t))\hfill & =({\beta }_1^{*}{\mathbf{I}}_h(t)+{\beta }_2^{*}\mathbf{W}(t)+d^{*}){\mathbf{S}}_h(t)\hfill \\ \hfill & -({\sigma }^{*}+d^{*}+d_1^{*}){\mathbf{I}}_h(t),\hfill \\ {}^{\mathcal{A}\mathcal{B}\mathcal{C}}{\mathbb{D}}_t^{\theta }(\mathbf{R}(t))\hfill & ={\sigma }^{*}{\mathbf{I}}_h(t)-d^{*}{\mathbf{R}}_h(t),\hfill \\ {}^{\mathcal{A}\mathcal{B}\mathcal{C}}{\mathbb{D}}_t^{\theta }(\mathbf{W}(t))\hfill & ={\alpha }^{*}{\mathbf{I}}_h(t)-{\eta }^{*}\mathbf{W}(t),\hfill \end{array}$$(3) for the iterative series.

Data availability statement

The data that support the findings of this study are available within the article.