Stability Analysis of a Multigroup Epidemic Model with General Exposed Distribution and Nonlinear Incidence Rates
Joint Authors
Pang, Jingmei
Zhang, Ling
Wang, Jinliang
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-15
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We investigate a class of multigroup epidemic models with general exposed distribution and nonlinear incidence rates.
For a simpler case that assumes an identical natural death rate for all groups, and with a gamma distribution for exposed distribution is considered.
Some sufficient conditions are obtained to ensure that the global dynamics are completely determined by the basic production number R0.
The proofs of the main results exploit the method of constructing Lyapunov functionals and a graph-theoretical technique in estimating the derivatives of Lyapunov functionals.
American Psychological Association (APA)
Zhang, Ling& Pang, Jingmei& Wang, Jinliang. 2013. Stability Analysis of a Multigroup Epidemic Model with General Exposed Distribution and Nonlinear Incidence Rates. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-465294
Modern Language Association (MLA)
Zhang, Ling…[et al.]. Stability Analysis of a Multigroup Epidemic Model with General Exposed Distribution and Nonlinear Incidence Rates. Abstract and Applied Analysis No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-465294
American Medical Association (AMA)
Zhang, Ling& Pang, Jingmei& Wang, Jinliang. Stability Analysis of a Multigroup Epidemic Model with General Exposed Distribution and Nonlinear Incidence Rates. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-465294
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-465294