کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4630187 1340594 2011 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Modeling spatial adaptation of populations by a time non-local convection cross-diffusion evolution problem
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Modeling spatial adaptation of populations by a time non-local convection cross-diffusion evolution problem
چکیده انگلیسی

In [19], Sighesada et al. presented a system of partial differential equations for modeling spatial segregation of interacting species. Apart from competitive Lotka–Volterra (reaction) and population pressure (cross-diffusion) terms, a convective term modeling the populations attraction to more favorable environmental regions is included. In this article, we introduce a modification of their convective term to take account for the notion of spatial adaptation of populations. After describing the model we briefly discuss its well-possedness and propose a numerical discretization in terms of a mass-preserving time semi-implicit finite differences scheme. Finally, we provide the results of two biologically inspired numerical experiments showing qualitative differences between the original model of [19] and the model proposed in this article.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 8, 15 December 2011, Pages 4587–4594
نویسندگان
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