دانلود مقاله ISI انگلیسی شماره 145985
ترجمه فارسی عنوان مقاله

اثرات دینامیکی تعاملات غیرموجب در مدل های پراکندگی زمان گسسته با ناهمخوانی نوع لجستیک

عنوان انگلیسی
Dynamical effects of nonlocal interactions in discrete-time growth-dispersal models with logistic-type nonlinearities
کد مقاله سال انتشار تعداد صفحات مقاله انگلیسی
145985 2017 8 صفحه PDF
منبع

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

Journal : Ecological Complexity, Volume 31, September 2017, Pages 88-95

ترجمه کلمات کلیدی
معادله دیفرانسیل انتگرال، تعامل غیر متقابل، شکل گیری الگو، اختلال چندگانه،
کلمات کلیدی انگلیسی
Integro-difference equation; Nonlocal interaction; Pattern formation; Multiscale perturbation;
پیش نمایش مقاله
پیش نمایش مقاله  اثرات دینامیکی تعاملات غیرموجب در مدل های پراکندگی زمان گسسته با ناهمخوانی نوع لجستیک

چکیده انگلیسی

The paper is devoted to the study of discrete time and continuous space models with nonlocal resource competition and periodic boundary conditions. We consider generalizations of logistic and Ricker's equations as intraspecific resource competition models with symmetric nonlocal dispersal and interaction terms. Both interaction and dispersal are modeled using convolution integrals, each of which has a parameter describing the range of nonlocality. It is shown that the spatially homogeneous equilibrium of these models becomes unstable for some kernel functions and parameter values by performing a linear stability analysis. To be able to further analyze the behavior of solutions to the models near the stability boundary, weakly nonlinear analysis, a well-known method for continuous time systems, is employed. We obtain Stuart–Landau type equations and give their parameters in terms of Fourier transforms of the kernels. This analysis allows us to study the change in amplitudes of the solutions with respect to ranges of nonlocalities of two symmetric kernel functions. Our calculations indicate that supercritical bifurcations occur near stability boundary for uniform kernel functions. We also verify these results numerically for both models.