Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions
Joint Authors
Wang, Nan
Pang, Jingmei
Wang, Jinliang
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-17
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The global stability of a multigroup SEIR epidemic model with general latency distribution and general incidence rate is investigated.
Under the given assumptions, the basic reproduction number ℜ0 is defined and proved as the role of a threshold; that is, the disease-free equilibrium P0 is globally asymptotically stable if ℜ0≤1, while an endemic equilibrium P* exists uniquely and is globally asymptotically stable if ℜ0>1.
For the proofs, we apply the classical method of Lyapunov functionals and a recently developed graph-theoretic approach.
American Psychological Association (APA)
Wang, Nan& Pang, Jingmei& Wang, Jinliang. 2014. Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014697
Modern Language Association (MLA)
Wang, Nan…[et al.]. Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1014697
American Medical Association (AMA)
Wang, Nan& Pang, Jingmei& Wang, Jinliang. Stability Analysis of a Multigroup SEIR Epidemic Model with General Latency Distributions. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1014697
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014697