On the dynamics of discrete-time prey-predator system with ratio-dependent functional response
Other Title(s)
حول ديناميكية نظام الفريسة-المفترس المتقطع ذو دالة الاستجابة الوظيفية النسبية
Joint Authors
Naji, Raid Kamil
Laftah, Ala Husayn
Source
Issue
Vol. 54, Issue 1 (31 Mar. 2013), pp.157-164, 8 p.
Publisher
University of Baghdad College of Science
Publication Date
2013-03-31
Country of Publication
Iraq
No. of Pages
8
Main Subjects
Topics
Abstract AR
في هذا البحث, تم اقتراح و تحليل نظام الفريسة – المفترس المتقطع ذو دالة الاستجابة الوظيفية النسبية.
تم الحصول على جميع النقاط الثابتة المحتملة, و وجدنا شروط الاستقرار المحلي لها.
كذلك, درسنا الاستقرار الشامل للنظام المقترح عدديا.
كما أن مخطط التشعيب كدالة لمعدل النمو في الفريسة رسمت.
لوحظ أن النظام المقترح له دينامكية متنوعة بضمنها فوضى.
Abstract EN
In this paper, a discrete- time ratio-dependent prey- predator model is proposed and analyzed.
All possible fixed points have been obtained.
The local stability conditions for these fixed points have been established.
The global stability of the proposed system is investigated numerically.
Bifurcation diagrams as a function of growth rate of the prey species are drawn.
It is observed that the proposed system has rich dynamics including chaos.
American Psychological Association (APA)
Naji, Raid Kamil& Laftah, Ala Husayn. 2013. On the dynamics of discrete-time prey-predator system with ratio-dependent functional response. Iraqi Journal of Science،Vol. 54, no. 1, pp.157-164.
https://search.emarefa.net/detail/BIM-337127
Modern Language Association (MLA)
Naji, Raid Kamil& Laftah, Ala Husayn. On the dynamics of discrete-time prey-predator system with ratio-dependent functional response. Iraqi Journal of Science Vol. 54, no. 1 (2013), pp.157-164.
https://search.emarefa.net/detail/BIM-337127
American Medical Association (AMA)
Naji, Raid Kamil& Laftah, Ala Husayn. On the dynamics of discrete-time prey-predator system with ratio-dependent functional response. Iraqi Journal of Science. 2013. Vol. 54, no. 1, pp.157-164.
https://search.emarefa.net/detail/BIM-337127
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 164
Record ID
BIM-337127