Traveling waves in a chemotactic model
Copyright policy )Traveling waves in a chemotactic model
A model for chemotaxis in a bacteria-substrate mixture introduced by Keller and Segel, which is described by nonlinear partial differential equations, is studied analytically. The existence of traveling waves is shown for the system in which the substrate diffusion is taken into account and the chemotactic coefficient is greater than the motility one, and the instability of traveling waves is discussed.
Biochemistry, molecular biology, PDEs in connection with biology, chemistry and other natural sciences, Chemotaxis, existence of traveling wave solutions, Physiological, cellular and medical topics, Bacterial Physiological Phenomena, Models, Biological, instability of travelling waves, Diffusion, Solutions, Keller-Segel model, bacteria-substrate mixture, chemotaxis, General biology and biomathematics, Mathematics
Biochemistry, molecular biology, PDEs in connection with biology, chemistry and other natural sciences, Chemotaxis, existence of traveling wave solutions, Physiological, cellular and medical topics, Bacterial Physiological Phenomena, Models, Biological, instability of travelling waves, Diffusion, Solutions, Keller-Segel model, bacteria-substrate mixture, chemotaxis, General biology and biomathematics, Mathematics
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