A model of herd grazing as a travelling wave, chemotaxis and stability

Shay Gueron; Nadav Liron

doi:10.1007/BF00288436

A model of herd grazing as a travelling wave, chemotaxis and stability

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	595-608
Number of pages	14
Journal	Journal of Mathematical Biology
Volume	27
Issue number	5
DOIs	https://doi.org/10.1007/BF00288436
State	Published - Sep 1989
Externally published	Yes

Keywords

Animal grazing
Chemotaxis
Stability analysis

ASJC Scopus subject areas

Modeling and Simulation
Agricultural and Biological Sciences (miscellaneous)
Applied Mathematics

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10.1007/BF00288436

Cite this

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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.",

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AU - Liron, Nadav

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AB - 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.

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KW - Chemotaxis

KW - Stability analysis

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A model of herd grazing as a travelling wave, chemotaxis and stability

Abstract

Keywords

ASJC Scopus subject areas

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