کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4627180 1631804 2015 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global asymptotic stability of a diffusive predator–prey model with ratio-dependent functional response
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Global asymptotic stability of a diffusive predator–prey model with ratio-dependent functional response
چکیده انگلیسی

This paper is concerned with a diffusive Leslie–Gower predator–prey system with ratio-dependent Holling type III functional response under homogeneous Neumann boundary conditions. The uniform persistence of the solutions semiflows, the existence of global attractors, local and global asymptotic stability of the positive constant steady state of the reaction–diffusion model are discussed by using comparison principle, the linearization method and the Lyapunov functional method, respectively. The global asymptotic stability of the positive constant steady state shows that the prey and predator will be spatially homogeneously distributed as time converges to infinities.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 250, 1 January 2015, Pages 71–77
نویسندگان
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