کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1139077 1489405 2015 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Spatial patterns through Turing instability in a reaction–diffusion predator–prey model
ترجمه فارسی عنوان
الگوهای فضایی از طریق بی ثباتی تورینگ در یک روش شکنندگی واکنش پراکنده
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
چکیده انگلیسی

Pattern formation in nonlinear complex systems is one of the central problems of the natural, social and technological sciences. In this paper, we consider a mathematical model of predator–prey interaction subject to self as well as cross-diffusion, arising in processes described by a system of reaction–diffusion equations (coupled to a system of ordinary differential equations) exhibiting diffusion-driven instability. Spatial patterns through Turing instability in a reaction–diffusion predator–prey model around the unique positive interior equilibrium of the model are discussed. Furthermore, we present numerical simulations of time evolution of patterns subject to self as well as cross-diffusion in the proposed spatial model and find that the model dynamics exhibits complex pattern replication in the two-dimensional space. The obtained results unveil that the effect of self as well as cross-diffusion plays an important role on the stationary pattern formation of the predator–prey model which concerns the influence of intra-species competition among predators.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 109, March 2015, Pages 174–185
نویسندگان
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