کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4500735 | 1320019 | 2008 | 9 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Biological invasions: Deriving the regions at risk from partial measurements Biological invasions: Deriving the regions at risk from partial measurements](/preview/png/4500735.png)
We consider the problem of forecasting the regions at higher risk for newly introduced invasive species. Favourable and unfavourable regions may indeed not be known a priori, especially for exotic species whose hosts in native range and newly-colonised areas can be different. Assuming that the species is modelled by a logistic-like reaction–diffusion equation, we prove that the spatial arrangement of the favourable and unfavourable regions can theoretically be determined using only partial measurements of the population density: (1) a local ‘spatio-temporal’ measurement, during a short time period and, (2) a ‘spatial’ measurement in the whole region susceptible to colonisation. We then present a stochastic algorithm which is proved analytically, and then on several numerical examples, to be effective in deriving these regions.
Journal: Mathematical Biosciences - Volume 215, Issue 2, October 2008, Pages 158–166