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On the dynamical behavior of a prey-predator model with the effect of periodic forcing
Other Title(s)
حول السلوك الديناميكي لنظام الفريسة و المفترس مع تأثير القوة الدورية
Author
Source
Issue
Vol. 4, Issue 1 (31 Mar. 2007), pp.147-157, 11 p.
Publisher
University of Baghdad College of Science for Women
Publication Date
2007-03-31
Country of Publication
Iraq
No. of Pages
11
Main Subjects
Topics
Abstract AR
تناول البحث دراسة السلوك الديناميكي للنظام الثنائي المستمر المتمثل بنظام الفريسة و المفترس.
تم إيجاد الشرط الكافي للاستقرارية الشاملة للنظام باستخدام دالة ليابانوف.
كما تناول البحث دراسة التفرع من نوع هوبف للنظام.
استخدمت المحاكاة لدراسة تأثير القوة الدورية على معلمتين مختلفتين عند وجود أو عدم وجود اختلاف في زاوية التأثير.
لقد أظهرت نتائج المحاكاة أن النظام، تحت تأثير القوة الدورية، يمتلك ديناميكية الفوضى.
Abstract EN
The dynamical behavior of a two-dimensional continuous time dynamical system describing by a prey predator model is investigated.
By means of constructing suitable Lyapunov functional, sufficient condition is derived for the global asymptotic stability of the positive equilibrium of the system.
The Hopf bifurcation analysis is carried out.
The numerical simulations are used to study the effect of periodic forcing in two different parameters.
The results of simulations show that the model under the effects of periodic forcing in two different parameters, with or without phase difference, could exhibit chaotic dynamics for realistic and biologically feasible parametric values.
American Psychological Association (APA)
Naji, Raid Kamil. 2007. On the dynamical behavior of a prey-predator model with the effect of periodic forcing. Um-Salama Science Journal،Vol. 4, no. 1, pp.147-157.
https://search.emarefa.net/detail/BIM-368428
Modern Language Association (MLA)
Naji, Raid Kamil. On the dynamical behavior of a prey-predator model with the effect of periodic forcing. Um-Salama Science Journal Vol. 4, no. 1 (2007), pp.147-157.
https://search.emarefa.net/detail/BIM-368428
American Medical Association (AMA)
Naji, Raid Kamil. On the dynamical behavior of a prey-predator model with the effect of periodic forcing. Um-Salama Science Journal. 2007. Vol. 4, no. 1, pp.147-157.
https://search.emarefa.net/detail/BIM-368428
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 157
Record ID
BIM-368428