کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
756080 896108 2011 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dynamics of an impulsively controlled Michaelis–Menten type predator–prey system
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Dynamics of an impulsively controlled Michaelis–Menten type predator–prey system
چکیده انگلیسی

We study a predator–prey system with a Michaelis–Menten functional response and impulsive perturbations which contain chemical and biological control terms. By applying the Floquet theory, we establish conditions for the existence and stability of prey-free solutions of the system. We also show the existence of a positive periodic solution of the system by using the bifurcation theorem and find a sufficient condition that makes the system permanent. Moreover, numerical results on impulsive perturbations show that the system we consider can give birth to various kinds of dynamical behaviors.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 16, Issue 4, April 2011, Pages 2041–2053
نویسندگان
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