The impact of disease and harvesting on the dynamical behavior of prey predator model

Other Title(s)

تأثير المرض و الحصاد على السلوك الديناميكي لنظام الفريسة و المفترس

Joint Authors

Ibrahim, Hibah Abd Allah
Naji, Raid Kamil

Source

Iraqi Journal of Science

Issue

Vol. 53, Issue 1 (31 Mar. 2012), pp.130-139, 10 p.

Publisher

University of Baghdad College of Science

Publication Date

2012-03-31

Country of Publication

Iraq

No. of Pages

10

Main Subjects

Mathematics

Topics

Abstract AR

تناولنا في هذا البحث نظام حصاد الفريسة و المفترس و الذي يتضمن مرض في الفريسة.

وجود، و وحدانية و قد الحيل للنظام نوقشة.

تحليل الاستقرارية لجميع النقاط الثابتة الممكنة للنظام درس.

شروط الإصرار للنظام وجدت.

بمحاكاة سلوك النظام عدد من مخططات التفرع رسمت و لقيم معالم مختلفة.

بينت النتائج بأن وجود المرض و الحصاد في النظام يؤدي إلى وجود جواذب مختلفة بضمنها الفوضى.

Abstract EN

In this paper, a harvested prey-predator model involving infectious disease in prey is considered.

The existence, uniqueness and boundedness of the solution are discussed.

The stability analysis of all possible equilibrium points are carried out.

The persistence conditions of the system are established.

The behavior of the system is simulated and bifurcation diagrams are obtained for different parameters.

The results show that the existence of disease and harvesting can give rise to multiple attractors, including chaos, with variations in critical parameters.

American Psychological Association (APA)

Naji, Raid Kamil& Ibrahim, Hibah Abd Allah. 2012. The impact of disease and harvesting on the dynamical behavior of prey predator model. Iraqi Journal of Science،Vol. 53, no. 1, pp.130-139.
https://search.emarefa.net/detail/BIM-308219

Modern Language Association (MLA)

Naji, Raid Kamil& Ibrahim, Hibah Abd Allah. The impact of disease and harvesting on the dynamical behavior of prey predator model. Iraqi Journal of Science Vol. 53, no. 1 (2012), pp.130-139.
https://search.emarefa.net/detail/BIM-308219

American Medical Association (AMA)

Naji, Raid Kamil& Ibrahim, Hibah Abd Allah. The impact of disease and harvesting on the dynamical behavior of prey predator model. Iraqi Journal of Science. 2012. Vol. 53, no. 1, pp.130-139.
https://search.emarefa.net/detail/BIM-308219

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 139

Record ID

BIM-308219