Stability analysis with bifurcation of an SVIR epidemic model involving immigrants
Other Title(s)
تحليل الاستقرارية مع التفرع للنظام الوبائي SVIR مع المهاجرين
Joint Authors
Naji, Raid Kamil
Muhsin, Ahmad Ali
Source
Issue
Vol. 54, Issue 2 (30 Jun. 2013), pp.397-408, 12 p.
Publisher
University of Baghdad College of Science
Publication Date
2013-06-30
Country of Publication
Iraq
No. of Pages
12
Main Subjects
Topics
Abstract AR
هناك العديد من العوامل التي تؤثر على انتشار الأمراض المعدية و التحكم بها, و بعض هذه العوامل هي المهاجرين و التطعيم.
الهدف الرئيسي من البحث هو دراسة تأثير هذه العوامل على السلوك الديناميكي للنموذج SVIR.
افترضنا انتشار المرض عن طريق الاتصال المباشر بين أفراد المجتمع مع اكتساب الأفراد المتعافين مناعة دائمية ضد المرض.
تمت مناقشة وجود وحدانية و قيوم الحل للأنموذج المقترح.
قمنا بدراسة السلوك المحلي و الشامل له.
كذلك بحثنا التفرعات المحلية و تفرع هوبف.
و أخيرا من أجل تأكيد نتائجنا و تحديد تأثير معلمات الأنموذج الوبائي SVIR على السلوك الديناميكي له أجرينا محاكاة عديدة له.
Abstract EN
There are many factors effect on the spread of infectious disease or control it, some of these factors are (immigration and vaccination).
The main objective of this paper is to study the effect of those factors on the dynamical behavior of an SVIR model.
It is assumed that the disease is spread by contact between members of populations individuals.
While the recovered individuals gain permanent immunity against the disease.
The existence, uniqueness and boundedness of the solution of this model are investigated.
The local and global dynamical behaviors of the model are studied.
The local bifurcations and Hopf bifurcation of the model are investigated.
Finally, in order to confirm our obtained results and specify the effects of model’s parameters on the dynamical behavior, numerical simulation of the SVIR model is performed.
American Psychological Association (APA)
Naji, Raid Kamil& Muhsin, Ahmad Ali. 2013. Stability analysis with bifurcation of an SVIR epidemic model involving immigrants. Iraqi Journal of Science،Vol. 54, no. 2, pp.397-408.
https://search.emarefa.net/detail/BIM-336968
Modern Language Association (MLA)
Naji, Raid Kamil& Muhsin, Ahmad Ali. Stability analysis with bifurcation of an SVIR epidemic model involving immigrants. Iraqi Journal of Science Vol. 54, no. 2 (2013), pp.397-408.
https://search.emarefa.net/detail/BIM-336968
American Medical Association (AMA)
Naji, Raid Kamil& Muhsin, Ahmad Ali. Stability analysis with bifurcation of an SVIR epidemic model involving immigrants. Iraqi Journal of Science. 2013. Vol. 54, no. 2, pp.397-408.
https://search.emarefa.net/detail/BIM-336968
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 408
Record ID
BIM-336968