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 | |
| 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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