Asymptotic dynamics of the one‐dimensional attraction–repulsion Keller–Segel model

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Boundedness, blowup and critical mass phenomenon in competing chemotaxis (2016, methodology): “In one dimension, the stationary solutions and time-asymptotic behavior of solutions were established in [21,26], and the time-periodic orbits were found recently in [27] by employing the local and global Hopf bifurcation theory.”
Boundedness of the attraction–repulsion Keller–Segel system (2015, methodology): “First in the one-dimensional space, the stationary solution and asymptotic behavior of the attraction–repulsion chemotaxis model were established in [12,17].”