کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1137358 1489168 2010 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Mathematics and dynamic analysis of an apparent competition community model with impulsive effect
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Mathematics and dynamic analysis of an apparent competition community model with impulsive effect
چکیده انگلیسی

In this paper, by using the theories and methods of ecology and ordinary differential equation, an ecological model consisting of two preys and one predator with impulsive control strategy is established. By using the theories of impulsive equation, small amplitude perturbation skills and comparison technique, we get the condition which guarantees the global asymptotical stability of the prey-eradication periodic solution. It is proved that the system is permanent. Further, influences of the impulsive perturbation on the inherent oscillation are studied numerically, which shows rich dynamics, such as period-doubling bifurcation, period-halving bifurcation, chaotic band, narrow or wide periodic window, chaotic crises,etc. Moreover, the computation of the largest Lyapunov exponent demonstrates the chaotic dynamic behavior of the model. At the same time, we investigate the qualitative nature of the strange attractor by using Fourier spectra. All these results may be useful for the study of the dynamic complexity of ecosystems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 52, Issues 1–2, July 2010, Pages 25–36
نویسندگان
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