title: A model of herd grazing as a travelling wave, chemotaxis and stability.
abstract: 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.
authors: Department of Mathematics, Technion--Israel Institute of Technology, Haifa.
authors: S
authors: S
authors: Gueron
authors: N
authors: N
authors: Liron
mesh_terms: D000818:Animals; D005247:Feeding Behavior; D008433:Mathematics; D008962:Models, Theoretical