دانلود مقاله ISI انگلیسی شماره 145828
عنوان انگلیسی
Positive solutions for Lotka–Volterra competition system with large cross-diffusion in a spatially heterogeneous environment
کد مقاله سال انتشار تعداد صفحات مقاله انگلیسی
145828 2017 19 صفحه PDF
منبع

Publisher : Elsevier - Science Direct (الزویر - ساینس دایرکت)

Journal : Nonlinear Analysis: Real World Applications, Volume 36, August 2017, Pages 1-19

پیش نمایش مقاله
پیش نمایش مقاله

چکیده انگلیسی

In this paper, we study the stationary problem for the Lotka–Volterra competition system with cross-diffusion in a spatially heterogeneous environment. Although some sufficient conditions for the existence of positive solutions are obtained by using global bifurcation theory, the information for their structure is far from complete. In order to get better understanding of the competition system with cross-diffusion, we focus on the asymptotic behaviour of positive solutions and derive two shadow systems as the cross-diffusion coefficient tends to infinity, moreover, the structure of positive solutions of the limiting system is analysed. The result of asymptotic behaviour also reveals different phenomena from that studied in Wang and Li (2013).