A model of herd grazing as a travelling wave,chemotaxis and stability |
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Authors: | Shay Gueron Nadav Liron |
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Institution: | (1) Department of Mathematics, Technion—Israel Institute of Technology, 32000 Haifa, Israel |
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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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Keywords: | Animal grazing Chemotaxis Stability analysis |
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