کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
470261 698426 2016 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Competitive–cooperative models with various diffusion strategies
ترجمه فارسی عنوان
مدل های رقابتی ـ همکاری با استراتژی های مختلف انتشار
کلمات کلیدی
توزیع آزاد ایده آل؛ جفت آزاد ایده آل؛ استراتژی پراکندگی؛ جذابیت جهانی؛ سیستم معادلات دیفرانسیل با مشتقات جزئی؛ همزیستی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی

The paper is concerned with different types of dispersal chosen by competing species. We introduce a model with the diffusion-type term ∇⋅[a∇(u/P)]∇⋅[a∇(u/P)] which includes some previously studied systems as special cases, where a positive space-dependent function PP can be interpreted as a chosen dispersal strategy. The well-known result that if the first species chooses PP proportional to the carrying capacity while the second does not then the first species will bring the second one to extinction, is also valid for this type of dispersal. However, we focus on the case when the ideal free distribution is attained as a combination of the two strategies adopted by the two species. Then there is a globally stable coexistence equilibrium, its uniqueness is justified. If both species choose the same dispersal strategy, non-proportional to the carrying capacity, then the influence of higher diffusion rates is negative, while of higher intrinsic growth rates is positive for survival in a competition. This extends the result of Dockery et al. (1998) for the regular diffusion to a more general type of dispersal.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 72, Issue 3, August 2016, Pages 653–662
نویسندگان
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