Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
A mathematical model of a grazing system including beetles
[PAGES SCANNED INCORRECTLY] A number of mathematical studies of herbivore (predator)- grass (prey) models (e.g. Noy-Meir 1975,_ 1976,1978; Wielgolaski 1973; Christian et al. 1978) have been developed. With the exception of a few (Jackson 1980), in all these models the accumulation of dung in pasture...
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis |
| Language: | English |
| Published: |
Department of Mathematics and Applied Mathematics
2024
|
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1867613142525149184 |
|---|---|
| access_status_str | Open Access |
| author | Xulu, Sibusiso Southwell |
| author_browse | Xulu, Sibusiso Southwell |
| author_facet | Xulu, Sibusiso Southwell |
| author_sort | Xulu, Sibusiso Southwell |
| collection | Thesis |
| description | [PAGES SCANNED INCORRECTLY] A number of mathematical studies of herbivore (predator)- grass (prey) models (e.g. Noy-Meir 1975,_ 1976,1978; Wielgolaski 1973; Christian et al. 1978) have been developed. With the exception of a few (Jackson 1980), in all these models the accumulation of dung in pastures is regarded as being negligible. In reality herb~vore dung may cover a non-negligible area of pasture and thus sensibly reduce the carrying capacity of the grazing land. Waterhouse (1974) found that an average of 12 dung pads are dropped by a single bovine every day. According to MacLusky (1960) cattle dung blankets an area of approximately 6600sq.cm per cow p.er day. If the pads are not disposed of, and taking into account the ensuing unpalatable reduced by (Waterhouse, rank growth, the effective area of pasture is thereby each animal by about 20% of an acre per year 1974). Hence one can give a conservative estimation that one million cattle may be putting out of service as much as 100000 acres of grazing land per annum, an area which can feed about 30000 cattle. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/40486 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:31:26.417Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2024 |
| publishDateRange | 2024 |
| publishDateSort | 2024 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/40486 A mathematical model of a grazing system including beetles Xulu, Sibusiso Southwell [PAGES SCANNED INCORRECTLY] A number of mathematical studies of herbivore (predator)- grass (prey) models (e.g. Noy-Meir 1975,_ 1976,1978; Wielgolaski 1973; Christian et al. 1978) have been developed. With the exception of a few (Jackson 1980), in all these models the accumulation of dung in pastures is regarded as being negligible. In reality herb~vore dung may cover a non-negligible area of pasture and thus sensibly reduce the carrying capacity of the grazing land. Waterhouse (1974) found that an average of 12 dung pads are dropped by a single bovine every day. According to MacLusky (1960) cattle dung blankets an area of approximately 6600sq.cm per cow p.er day. If the pads are not disposed of, and taking into account the ensuing unpalatable reduced by (Waterhouse, rank growth, the effective area of pasture is thereby each animal by about 20% of an acre per year 1974). Hence one can give a conservative estimation that one million cattle may be putting out of service as much as 100000 acres of grazing land per annum, an area which can feed about 30000 cattle. 2024-07-23T13:17:31Z 2024-07-23T13:17:31Z 1982 2024-07-23T07:02:28Z Thesis / Dissertation Masters MSc http://hdl.handle.net/11427/40486 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science |
| spellingShingle | Xulu, Sibusiso Southwell A mathematical model of a grazing system including beetles |
| thesis_degree_str | Master's |
| title | A mathematical model of a grazing system including beetles |
| title_full | A mathematical model of a grazing system including beetles |
| title_fullStr | A mathematical model of a grazing system including beetles |
| title_full_unstemmed | A mathematical model of a grazing system including beetles |
| title_short | A mathematical model of a grazing system including beetles |
| title_sort | mathematical model of a grazing system including beetles |
| url | http://hdl.handle.net/11427/40486 |
| work_keys_str_mv | AT xulusibusisosouthwell amathematicalmodelofagrazingsystemincludingbeetles AT xulusibusisosouthwell mathematicalmodelofagrazingsystemincludingbeetles |