A risk-induced dispersal strategy of the infected population for a disease-free state in the SIS epidemic model

Figures & data

Figure 1. Endemic occurs when the infected individuals without RID are in the high-risk domain ($d_I=0.05$).

Figure 2. Disease-free occurs when the infected individuals move with RID in the high-risk domain ($d_I=0.05$).

Figure 3. Endemic occurs when the infected individuals move with RID in the high-risk domain ($d_I=0.01$).

Figure 4. Effect of RID for two-patch models in the high-risk domain (a) Endemic equilibrium without RID (b) Disease-free equilibrium with RID (${\beta }_1=0.05,r_1=0.02,{\beta }_2=0.02,r_2=0.04,d_S=0.1,d_I=0.01$ and k = 6).

Figure 5. Effect of sensitivity k for two-patch models in the high-risk domain (a) Endemic equilibrium with low sensitivity (k = 3) (b) Disease-free equilibrium with high sensitivity (k = 6) (${\beta }_1=0.05,r_1=0.02,{\beta }_2=0.02,r_2=0.04$, $d_S=0.1$ and $d_I=0.01$).

Figure 6. Effect of RID for reaction-diffusion models in the low-risk domain (a) Endemic equilibrium without RID (b) Disease-free equilibrium with RID. ($\beta (x)=\sin (2\mathrm{\pi x})+1.2,r(x)=\cos (2\mathrm{\pi x})+1.5$, $d_S=0.01$, $d_I=\ell =0.01$ and h = 0.15.)

Figure 7. Effect of sensitivity $h/\ell$ for reaction-diffusion models in the high-risk domain (a) Endemic equilibrium without RID (b) Disease-free equilibrium with RID. ($\beta (x)=\sin (2\mathrm{\pi x})+1.5,r(x)=\cos (2\mathrm{\pi x})+1.3$, $d_S=0.01$, $d_I=\ell =0.01$ and h = 0.2.)