Parabolic System of Aggregation Formation in Bacterial Colonies

Dr. Zhaosheng Feng
Endowed Chair Professor of Mathematics
University of Texas Rio Grande Valley

The goal of this talk is to study a fourth-order nonlinear parabolic system with dispersion for describing bacterial aggregation. Analytical solution of traveling wave is found by taking into account the dispersion coefficient. Numerically, we demonstrate that the initial concentration of bacteria in the form of a random distribution over time transforms into a periodic wave, followed by a transition to a stationary solitary wave without dispersion.