Table 2 Values of γ for each of the interface scenarios. DD denotes discontinuous density as described in Table 1. See [12]
From: An exact bifurcation diagram for a reaction–diffusion equation arising in population dynamics
Interface scenario | γ-value |
|---|---|
Continuous density | \(\sqrt{\frac{S_{0} D_{0}}{r D}}\) |
Type I DD | \(\frac{1 - \alpha}{\alpha} \frac{\sqrt{S_{0}}}{\sqrt {r}}\) |
Type II DD | \(\frac{1 - \alpha}{\alpha} \frac{\sqrt{S_{0} D}}{\sqrt {r D_{0}}}\) |
Type III DD | \(\frac{1 - \alpha}{\alpha} \sqrt{\frac{S_{0} D_{0}}{r D}}\) |