Abstract
For spatially one-dimensional run-and-tumble dynamics with mass conservation we develop a coarse phase diagram, that discriminates between global decay to equidistributed constant states, existence of spatially non-trivial waves, and finite time blowup of solutions. Motivated by counter-migrating ripples of high and low population density and fruiting body formation in myxobacteria, we identify phase boundaries as particular critical tumbling dynamics that allow for switching between these spatio-temporal phases upon slight changes in mass densities or parameter values.
Original language | English (US) |
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Pages (from-to) | 2128-2146 |
Number of pages | 19 |
Journal | Nonlinearity |
Volume | 32 |
Issue number | 6 |
DOIs | |
State | Published - May 8 2019 |
Bibliographical note
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