Existence of traveling waves connecting (1,1) and (0,0) is established for χ ≤ 0 with c > c* or 0 < χ < 1/2 with c > 2, with monotonicity for χ ≤ 0 and uniqueness/stability for c > c**.
Henderson, Slow and fast minimal speed traveling wav es of the FKPP equation with chemotaxis, J
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Existence, uniqueness, stability, and monotonicity of traveling waves for repulsion/attraction chemotaxis models with logistic type source
Existence of traveling waves connecting (1,1) and (0,0) is established for χ ≤ 0 with c > c* or 0 < χ < 1/2 with c > 2, with monotonicity for χ ≤ 0 and uniqueness/stability for c > c**.