## A mathematical model of a grazing system including beetles

dc.contributor.author | Xulu, Sibusiso Southwell | |

dc.date.accessioned | 2024-07-23T13:17:31Z | |

dc.date.available | 2024-07-23T13:17:31Z | |

dc.date.issued | 1982 | |

dc.date.updated | 2024-07-23T07:02:28Z | |

dc.description.abstract | [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. | |

dc.identifier.apacitation | Xulu, S. S. (1982). <i>A mathematical model of a grazing system including beetles</i>. (). ,Faculty of Science ,Department of Mathematics and Applied Mathematics. Retrieved from http://hdl.handle.net/11427/40486 | en_ZA |

dc.identifier.chicagocitation | Xulu, Sibusiso Southwell. <i>"A mathematical model of a grazing system including beetles."</i> ., ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1982. http://hdl.handle.net/11427/40486 | en_ZA |

dc.identifier.citation | Xulu, S.S. 1982. A mathematical model of a grazing system including beetles. . ,Faculty of Science ,Department of Mathematics and Applied Mathematics. http://hdl.handle.net/11427/40486 | en_ZA |

dc.identifier.ris | TY - Thesis / Dissertation AU - Xulu, Sibusiso Southwell AB - [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. DA - 1982 DB - OpenUCT DP - University of Cape Town LK - https://open.uct.ac.za PY - 1982 T1 - A mathematical model of a grazing system including beetles TI - A mathematical model of a grazing system including beetles UR - http://hdl.handle.net/11427/40486 ER - | en_ZA |

dc.identifier.uri | http://hdl.handle.net/11427/40486 | |

dc.identifier.vancouvercitation | Xulu SS. A mathematical model of a grazing system including beetles. []. ,Faculty of Science ,Department of Mathematics and Applied Mathematics, 1982 [cited yyyy month dd]. Available from: http://hdl.handle.net/11427/40486 | en_ZA |

dc.language.rfc3066 | eng | |

dc.publisher.department | Department of Mathematics and Applied Mathematics | |

dc.publisher.faculty | Faculty of Science | |

dc.title | A mathematical model of a grazing system including beetles | |

dc.type | Thesis / Dissertation | |

dc.type.qualificationlevel | Masters | |

dc.type.qualificationlevel | MSc |