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Stability and bifurcation of epidemic model
Other Title(s)
الاستقرارية و التفرع لنموذج وبائي
Joint Authors
Naji, Raid Kamil
Muhsin, Ahmad Ali
Source
Issue
Vol. 54, Issue 3 (30 Sep. 2013), pp.764-774, 11 p.
Publisher
University of Baghdad College of Science
Publication Date
2013-09-30
Country of Publication
Iraq
No. of Pages
11
Main Subjects
Abstract EN
In this paper a mathematical model that describes the flow of infectious disease in a population is proposed and studied.
It is assumed that the disease divided the population into four classes: susceptible individuals (S), vaccinated individuals (V), infected individuals (I) and recover individuals (R).
The impact of immigrants, vaccine and external sources of disease, on the dynamics of SVIRS epidemic model is studied.
The existence, uniqueness and boundedness of the solution of the model are discussed.
The local and global stability of the model is studied.
The occurrence of local bifurcation as well as Hopf bifurcation in the model is investigated.
Finally the global dynamics of the proposed model is studied numerically
American Psychological Association (APA)
Naji, Raid Kamil& Muhsin, Ahmad Ali. 2013. Stability and bifurcation of epidemic model. Iraqi Journal of Science،Vol. 54, no. 3, pp.764-774.
https://search.emarefa.net/detail/BIM-955542
Modern Language Association (MLA)
Naji, Raid Kamil& Muhsin, Ahmad Ali. Stability and bifurcation of epidemic model. Iraqi Journal of Science Vol. 54, no. 3 (2013), pp.764-774.
https://search.emarefa.net/detail/BIM-955542
American Medical Association (AMA)
Naji, Raid Kamil& Muhsin, Ahmad Ali. Stability and bifurcation of epidemic model. Iraqi Journal of Science. 2013. Vol. 54, no. 3, pp.764-774.
https://search.emarefa.net/detail/BIM-955542
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 774
Record ID
BIM-955542