کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
837351 908336 2013 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Complex dynamics of a diffusive epidemic model with strong Allee effect
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Complex dynamics of a diffusive epidemic model with strong Allee effect
چکیده انگلیسی

In this paper, we investigate the dynamics of a diffusive epidemic model with strong Allee effect in the susceptible population. We show some properties of solutions of the model, the asymptotic stability of the equilibria. Especially, we show that there exists a separatrix curve that separates the behavior of trajectories of the system, implying that the model is highly sensitive to the initial conditions. Furthermore, we give the conditions of Turing instability and determine the Turing space in the parameters space. Based on these results, we perform a series of numerical simulations and find that the model exhibits complex pattern replication: spots, spot–stripe mixtures and stripes patterns.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 14, Issue 4, August 2013, Pages 1907–1920
نویسندگان
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