Fig. 8.

The effect of varying the attack rate on patch type 2 ($a_2$, coloured curves) in the stability boundaries for different combinations of prey residence index (${\rho }_2^u,{\rho }_1^u$). Plots with respect to per capita prey growth rate ($\widehat{\lambda }$) and the per capita predator mortality rate ($\widehat{m}$), when the system is close to the Hopf bifurcation (when C is close to $C_{\text{crit}}$). The areas above the curves correspond to regions of parameters where the PTW solutions are stable, whereas the areas below the curves correspond to regions where the solutions are unstable. ${\lambda }_1={\lambda }_2$ and $m_1=m_2$; hence, $\widehat{\lambda }$ and $\widehat{m}$ do not depend on ${\rho }_i^{v,u}$. The other parameters are ${\rho }_1^v={\rho }_2^v=4.0,a_1=0.5,h_1=h_2=0.5,\gamma =0.9,l_1=l_2=0.5.$ (Color Figure Online)