Global Stability Analysis of SEIR Model with Holling Type II Incidence Function
Joint Authors
Safi, Mohammad A.
Garba, Salisu M.
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-10
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
A deterministic model for the transmission dynamics of a communicable disease is developed and rigorously analysed.
The model, consisting of five mutually exclusive compartments representing the human dynamics, has a globally asymptotically stable disease-free equilibrium (DFE) whenever a certain epidemiological threshold, known as the basic reproduction number (ℛ0), is less than unity; in such a case the endemic equilibrium does not exist.
On the other hand, when the reproduction number is greater than unity, it is shown, using nonlinear Lyapunov function of Goh-Volterra type, in conjunction with the LaSalle's invariance principle, that the unique endemic equilibrium of the model is globally asymptotically stable under certain conditions.
Furthermore, the disease is shown to be uniformly persistent whenever ℛ0>1.
American Psychological Association (APA)
Safi, Mohammad A.& Garba, Salisu M.. 2012. Global Stability Analysis of SEIR Model with Holling Type II Incidence Function. Computational and Mathematical Methods in Medicine،Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-501184
Modern Language Association (MLA)
Safi, Mohammad A.& Garba, Salisu M.. Global Stability Analysis of SEIR Model with Holling Type II Incidence Function. Computational and Mathematical Methods in Medicine No. 2012 (2012), pp.1-8.
https://search.emarefa.net/detail/BIM-501184
American Medical Association (AMA)
Safi, Mohammad A.& Garba, Salisu M.. Global Stability Analysis of SEIR Model with Holling Type II Incidence Function. Computational and Mathematical Methods in Medicine. 2012. Vol. 2012, no. 2012, pp.1-8.
https://search.emarefa.net/detail/BIM-501184
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-501184