کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
838342 | 908358 | 2010 | 5 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Competition in a patchy environment with cross-diffusion in a three-dimensional Lotka–Volterra system
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Competition in a patchy environment with cross-diffusion in a three-dimensional Lotka–Volterra system Competition in a patchy environment with cross-diffusion in a three-dimensional Lotka–Volterra system](/preview/png/838342.png)
چکیده انگلیسی
In this paper, we formulate a three-dimensional competitive Lotka–Volterra system in two patches in which the per capita migration rate of each species is influenced not only by its own density but also by another’s density. That is to say, there is cross-diffusion present in the Lotka–Volterra system. We first show that there is a critical value of the bifurcation parameter at which the system undergoes a Turing bifurcation under the effect of cross-diffusion, in theory. At the same time, we also give the results of numerical studies. Our work illustrates that the cross-migration response is an important factor that should not be ignored for this kind of system.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 11, Issue 4, August 2010, Pages 2726–2730
Journal: Nonlinear Analysis: Real World Applications - Volume 11, Issue 4, August 2010, Pages 2726–2730
نویسندگان
Ruiping Wang,