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Theory and Modern Applications

Figure 4 | Advances in Difference Equations

Figure 4

From: Impact of reduction in contact time activity of infected individuals on the dynamics and control of directly transmitted respiratory infections in SIR models

Figure 4

Bifurcation diagram showing the endemic prevalence of infection as a function of the effective reproduction number with treatment \(\mathcal{R}_{T}\), if condition (43) holds (i.e., \(\mathcal{Y} < \mathcal{Y}_{2}\)). Solid curves correspond to stable equilibria and broken curves correspond to unstable equilibria. Part (a) shows the case where \(\beta_{2} < \beta_{0}\) with \(\mathcal{Y} = 0.3\mathcal{Y}_{2}\), while part (b) shows the case \(\beta_{0} < \beta_{2}\) with \(\mathcal{Y} = 0.6 \mathcal{Y}_{2}\). Simulations have been done with the parameter values shown in Table 1.

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