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On the stability of steadily propagating bands of chemotactic bacteria. (English) Zbl 0307.92013


MSC:

92D25 Population dynamics (general)
93D99 Stability of control systems
Full Text: DOI

References:

[1] Adler, J., Chemotaxis in bacteria, Science, 153, 708-715 (1966)
[2] Adler, J., Chemoreceptors in bacteria, Science, 166, 1588-1597 (1969)
[3] Keller, E. F.; Segel, L. A., Traveling bands of chemotactic bacteria: a theoretical analysis, J. Theor. Biol., 30, 235-248 (1971) · Zbl 1170.92308
[4] Nossal, R., Boundary movement of chemotactic bacterial populations, Math. Biosci., 13, 397-406 (1972) · Zbl 0337.92017
[5] Rosen, G., On the propagation theory for bands of chemotactic bacteria, Math. Biosci., 20, 185-190 (1974) · Zbl 0281.92006
[6] Benjamin, T. B., The stability of solitary waves, Proc. Roy. Soc. (London), A328, 153-183 (1972)
[7] Rosen, G., Fundamental theoretical aspects of bacterial chemotaxis, J. Theor. Biol., 41, 201-212 (1973)
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