کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8946293 1645339 2018 32 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Biased movement and the ideal free distribution in some free boundary problems
ترجمه فارسی عنوان
جنبش بی نظم و توزیع ایده آل آزاد در برخی از مشکلات مرزی آزاد
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
Some invasive species can persist in their habitat but eventually spread very slow in a nonlinear fashion to expand their habitat range. In order to capture this phenomenon, we consider reaction-diffusion-advection models with a free boundary modeling the spreading and the biased movement of species in one-dimensional spatially heterogeneous environments. Under a condition of low resource quality, we find that large advection can lead to the spreading of the species but the spreading speed goes asymptotically to zero. Moreover, we investigate the effect of the resource on the dynamics of the current problem. Finally, we bring the notion of an ideal free distribution (IFD) into free boundary problems to understand the mechanism such that the species can eventually match the environmental quality perfectly. Under the current problem setting, the IFD may not hold even if the population plays an ideal free strategy. We then provide a sufficient condition for the IFD to be reached when using an ideal free strategy.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 265, Issue 9, 5 November 2018, Pages 4251-4282
نویسندگان
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