Stability analysis of an ecological system consisting of a predator and stage structured prey
Other Title(s)
تحليل الاستقرارية لنظام بيئي يتكون من مفترس و فريسة ذات مراحل عمرية مركبة
Joint Authors
Majid, Azhar Abbas
Naji, Raid Kamil
Source
Issue
Vol. 53, Issue 1 (31 Mar. 2012), pp.148-155, 8 p.
Publisher
University of Baghdad College of Science
Publication Date
2012-03-31
Country of Publication
Iraq
No. of Pages
8
Main Subjects
Topics
Abstract AR
يتضمن هذا البحث اقتراح و تحليل نموذج رياضي يتكون من مفترس يتفاعل مع فريسة ذات مراحل عمرية مركبة.
تمت مناقشة وجود، وحدانية و قيود الحل للنموذج المقترح.
كما قمنا بدراسة وجود و استقرارية النقاط الثابتة لهذا النموذج.
كذلك درسنا الاستقرارية الشاملة للنقاط الثابتة تحليليا باستخدام دوال ليابانوف.
و أخيرا السلوك الديناميكي الشامل بحث عدديا.
Abstract EN
In this paper, a mathematical model, consists from a predator interacting with stage structured prey, is proposed and analyzed.
The existence, uniqueness and boundedness of the solution of the proposed model are discussed.
The existence and the stability analyses of all possible equilibrium points are studied.
The global stability of these equilibrium points are performed with suitable Lyapunov functions.
Finally, the dynamical behavior of the model is investigated numerically.
American Psychological Association (APA)
Naji, Raid Kamil& Majid, Azhar Abbas. 2012. Stability analysis of an ecological system consisting of a predator and stage structured prey. Iraqi Journal of Science،Vol. 53, no. 1, pp.148-155.
https://search.emarefa.net/detail/BIM-308223
Modern Language Association (MLA)
Naji, Raid Kamil& Majid, Azhar Abbas. Stability analysis of an ecological system consisting of a predator and stage structured prey. Iraqi Journal of Science Vol. 53, no. 1 (2012), pp.148-155.
https://search.emarefa.net/detail/BIM-308223
American Medical Association (AMA)
Naji, Raid Kamil& Majid, Azhar Abbas. Stability analysis of an ecological system consisting of a predator and stage structured prey. Iraqi Journal of Science. 2012. Vol. 53, no. 1, pp.148-155.
https://search.emarefa.net/detail/BIM-308223
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 155
Record ID
BIM-308223