Global Hopf Bifurcation Analysis for an Avian Influenza Virus Propagation Model with Nonlinear Incidence Rate and Delay
Joint Authors
Xiong, Ying
Zhai, Yanhui
Ma, Xiaona
Bai, Haiyun
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-14
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The paper investigated an avian influenza virus propagation model with nonlinear incidence rate and delay based on SIR epidemic model.
We regard delay as bifurcating parameter to study the dynamical behaviors.
At first, local asymptotical stability and existence of Hopf bifurcation are studied; Hopf bifurcation occurs when time delay passes through a sequence of critical values.
An explicit algorithm for determining the direction of the Hopf bifurcations and stability of the bifurcation periodic solutions is derived by applying the normal form theory and center manifold theorem.
What is more, the global existence of periodic solutions is established by using a global Hopf bifurcation result.
American Psychological Association (APA)
Zhai, Yanhui& Xiong, Ying& Ma, Xiaona& Bai, Haiyun. 2014. Global Hopf Bifurcation Analysis for an Avian Influenza Virus Propagation Model with Nonlinear Incidence Rate and Delay. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1033626
Modern Language Association (MLA)
Zhai, Yanhui…[et al.]. Global Hopf Bifurcation Analysis for an Avian Influenza Virus Propagation Model with Nonlinear Incidence Rate and Delay. Abstract and Applied Analysis No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-1033626
American Medical Association (AMA)
Zhai, Yanhui& Xiong, Ying& Ma, Xiaona& Bai, Haiyun. Global Hopf Bifurcation Analysis for an Avian Influenza Virus Propagation Model with Nonlinear Incidence Rate and Delay. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-1033626
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033626