论文信息 - Pattern formation in systems with one spatially distributed species

Pattern formation in systems with one spatially distributed species

We describe a three-species mechanism for spatial pattern formation in which only one species spatially moves. We show that a bifurcation to traveling or standing waves occurs. We contrast this mechanism for pattern formation with the better known cases where more than one species moves.

G. Bard Ermentrout | Mark A. Lewis | B. Ermentrout | M. Lewis

[1] S. Levin,et al. Periodicity in Epidemiological Models , 1989 .

[2] W Rall,et al. Changes of action potential shape and velocity for changing core conductor geometry. , 1974, Biophysical journal.

[3] J. Cowan,et al. Some mathematical questions in biology , 1974 .

[4] S. Smale,et al. A Mathematical Model of Two Cells Via Turing’s Equation , 1976 .

[5] G. Bard Ermentrout,et al. Stable small-amplitude solutions in reaction-diffusion systems , 1981 .

[6] C. Morris,et al. Voltage oscillations in the barnacle giant muscle fiber. , 1981, Biophysical journal.

[7] J. Tyson. Cyclic-AMP waves in Dictyostelium: Specific models and general theories , 1989 .

[8] K. Kishimoto,et al. Stable spatio-temporal oscillations of diffusive Lotka-Volterra system with three or more species , 1983 .

[9] Albert Goldbeter,et al. Cell to cell signalling : from experiments to theoretical models , 1989 .

[10] Lee A. Segel,et al. PATTERN GENERATION IN SPACE AND ASPECT. , 1985 .

[11] Louis J. Gross,et al. Applied Mathematical Ecology , 1990 .