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Table 1 Table summarizing our findings on the existence of travelling wave solutions (TWS)

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 \(\times \)
\(\ne 0\) \(\surd \) \(\alpha _{0}\le 2 \lambda _{0}\)