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The dynamics of Holling type IV prey predator model with intra-specific competition
Other Title(s)
ديناميكية نظام هولنك من النوع الرابع للفريسة-المفترس و المتضمن التنافس الضمني
Joint Authors
Naji, Raid Kamil
Shalan, Rihab Nuri
Source
Issue
Vol. 54, Issue 2 (30 Jun. 2013), pp.386-396, 11 p.
Publisher
University of Baghdad College of Science
Publication Date
2013-06-30
Country of Publication
Iraq
No. of Pages
11
Main Subjects
Topics
Abstract AR
في هذا البحث تم اقتراح و تحليل نظام الفريسة - المفترس و المتضمن دالة استجابة لهولنك ذات النوع الرابع التنافس بين أفراد المفترس.
السلوك الديناميكي المحلي للنظام درس.
تفرع هوبف نوقش, كما تم مناقشة السلوك الديناميكي الشامل بمساعدة دالة اليابانوف و نظرية بينكاريه - بندكس, و أخيرا تم استخدام المحاكاة العددية لدراسة سلوك الديناميكية الشاملة و قد لوحظ بأن النظام يمتلك إما نقطة استقرار أ, ديناميكية دورية.
Abstract EN
In this paper a prey-predator model involving Holling type IV functional response and intra-specific competition is proposed and analyzed.
The local stability analysis of the system is carried out.
The occurrence of a simple Hopf bifurcation is investigated.
The global dynamics of the system is investigated with the help of the Lyapunov function and poincare-bendixson theorem.
Finally, the numerical simulation is used to study the global dynamical behavior of the system.
It is observed that, the system has either stable point or periodic dynamics.
American Psychological Association (APA)
Naji, Raid Kamil& Shalan, Rihab Nuri. 2013. The dynamics of Holling type IV prey predator model with intra-specific competition. Iraqi Journal of Science،Vol. 54, no. 2, pp.386-396.
https://search.emarefa.net/detail/BIM-336959
Modern Language Association (MLA)
Naji, Raid Kamil& Shalan, Rihab Nuri. The dynamics of Holling type IV prey predator model with intra-specific competition. Iraqi Journal of Science Vol. 54, no. 2 (2013), pp.386-396.
https://search.emarefa.net/detail/BIM-336959
American Medical Association (AMA)
Naji, Raid Kamil& Shalan, Rihab Nuri. The dynamics of Holling type IV prey predator model with intra-specific competition. Iraqi Journal of Science. 2013. Vol. 54, no. 2, pp.386-396.
https://search.emarefa.net/detail/BIM-336959
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 395-396
Record ID
BIM-336959