کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4640984 1341293 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global solutions to a class of multi-species reaction-diffusion systems with cross-diffusions arising in population dynamics
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Global solutions to a class of multi-species reaction-diffusion systems with cross-diffusions arising in population dynamics
چکیده انگلیسی

In this paper, an nn-species strongly coupled cooperating diffusive system is considered in a bounded smooth domain, subject to homogeneous Neumann boundary conditions. Employing the method of energy estimates, we obtain some conditions on the diffusion matrix and inter-specific cooperatives to ensure the global existence and uniform boundedness of a nonnegative solution. The globally asymptotical stability of the constant positive steady state is also discussed. As a consequence, all the results hold true for multi-species Lotka–Volterra type competition model and prey–predator model.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 230, Issue 1, 1 August 2009, Pages 34–43
نویسندگان
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