کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
837251 1470413 2014 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dynamical complexity induced by Allee effect in a predator–prey model
ترجمه فارسی عنوان
پیچیدگی دینامیکی ناشی از اثر آللی در یک مدل شکارچی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
چکیده انگلیسی

In this paper, we investigate the complex dynamics induced by Allee effect in a predator–prey model. For the non-spatial model, Allee effect remains the boundedness of positive solutions, and it also induces the model to exhibit one or two positive equilibria. Especially, in the case with strong Allee effect, the model is bistable. For the spatial model, without Allee effect, there is the nonexistence of diffusion-driven instability. And in the case with Allee effect, the positive equilibrium can be unstable under certain conditions. This instability is induced by Allee effect and diffusion together. Furthermore, via numerical simulations, the model dynamics exhibits both Allee effect and diffusion controlled pattern formation growth to holes, stripe–hole mixtures, stripes, stripe–spot mixtures, and spots replication. That is to say, the dynamics of the model with Allee effect is not simple, but rich and complex.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 16, April 2014, Pages 103–119
نویسندگان
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