A model of herd grazing as a travelling wave, chemotaxis and stability.
Possible constitutive models are examined for the formation of a herd, under the assumption that a herd forms a travelling wave while grazing. Under quite general conditions, it is found that the only possibility for a travelling wave is a balance between food seeking and natural dispersion, such as in chemotaxis. The stability of the travelling wave previously conjectured, is shown both for one- and two-dimensional perturbations.
Gueron
S
S
Department of Mathematics, Technion--Israel Institute of Technology, Haifa.
Liron
N
N
D000818:Animals; D005247:Feeding Behavior; D008433:Mathematics; D008962:Models, Theoretical