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The effects of spatially-constrained treatment regions upon a model of wombat mange.
Hindle, Ivy J; Forbes, Lawrence K; Walters, Stephen J; Carver, Scott.
Afiliación
  • Hindle IJ; Department of Life Sciences, University of Tasmania, Hobart, TAS, 7001, Australia.
  • Forbes LK; Department of Mathematics and Physics, University of Tasmania, Hobart, TAS, 7001, Australia. Larry.Forbes@utas.edu.au.
  • Walters SJ; Department of Mathematics and Physics, University of Tasmania, Hobart, TAS, 7001, Australia.
  • Carver S; Odum School of Ecology, University of Georgia, Athens, GA, 30602, USA.
J Math Biol ; 88(5): 53, 2024 Apr 02.
Article en En | MEDLINE | ID: mdl-38565734
ABSTRACT
The use of therapeutic agents is a critical option to manage wildlife disease, but their implementation is usually spatially constrained. We seek to expand knowledge around the effectiveness of management of environmentally-transmitted Sarcoptes scabiei on a host population, by studying the effect of a spatially constrained treatment regime on disease dynamics in the bare-nosed wombat Vombatus ursinus. A host population of wombats is modelled using a system of non-linear partial differential equations, a spatially-varying treatment regime is applied to this population and the dynamics are studied over a period of several years. Treatment could result in mite decrease within the treatment region, extending to a lesser degree outside, with significant increases in wombat population. However, the benefits of targeted treatment regions within an environment are shown to be dependent on conditions at the start (endemic vs. disease free), as well as on the locations of these special regions (centre of the wombat population or against a geographical boundary). This research demonstrates the importance of understanding the state of the environment and populations before treatment commences, the effects of re-treatment schedules within the treatment region, and the transient large-scale changes in mite numbers that can be brought about by sudden changes to the environment. It also demonstrates that, with good knowledge of the host-pathogen dynamics and the spatial terrain, it is possible to achieve substantial reduction in mite numbers within the target region, with increases in wombat numbers throughout the environment.
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Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Asunto principal: Escabiosis / Marsupiales Límite: Animals Idioma: En Revista: J Math Biol Año: 2024 Tipo del documento: Article País de afiliación: Australia Pais de publicación: Alemania

Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Asunto principal: Escabiosis / Marsupiales Límite: Animals Idioma: En Revista: J Math Biol Año: 2024 Tipo del documento: Article País de afiliación: Australia Pais de publicación: Alemania