From: Travelling wave analysis in chemotaxis: case of starvation
h(S) | k | \(D_{S}\) | TWS | Restriction on \(\alpha _{0}\) |
---|---|---|---|---|
0 | \(\infty \) | 0 | \(\times \) (or \(\surd \) if \(S_{1} \notin Y_{S}\)) | – |
\(\ne 0\) | \(\times \) (or \(\surd \) if \(S_{1} \notin Y_{S}\)) | – | ||
0 | 0 | \(\times \) | – | |
\(\ne 0\) | \(\surd \) | – | ||
\(\alpha _{0}\) | \(\infty \) | 0 | \(\times \) (or \(\surd \) if \(S_{1} \notin Y_{S}\)) | – (or arbitrary) |
\(\ne 0\) | \(\surd \) | \(\alpha _{0}>2 \lambda _{0}\) | ||
0 | 0 | \(\times \) | – | |
\(\ne 0\) | \(\surd \) | \(\alpha _{0}\le 2 \lambda _{0}\) |