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A New Approach to the Method of Lyapunov Functionals and Its Applications
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-08
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We show some results which can replace the graph theory used to construct global Lyapunov functions in some coupled systems of differential equations.
We present an example of an epidemic model with stage structure and latency spreading in a heterogeneous host population and obtain a more general threshold for the extinction and persistence of a disease.
Using some results obtained by mathematical induction and suitable Lyapunov functionals, we prove the global stability of the endemic equilibrium.
For some coupled systems of differential equations, by a similar approach to the discussion of the epidemic model, the conditions of threshold property or global stability can be established without the assumption that the relative matrix is irreducible.
American Psychological Association (APA)
Jin, Yunguo& Zhong, Shouming. 2013. A New Approach to the Method of Lyapunov Functionals and Its Applications. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-459660
Modern Language Association (MLA)
Jin, Yunguo& Zhong, Shouming. A New Approach to the Method of Lyapunov Functionals and Its Applications. Journal of Applied Mathematics No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-459660
American Medical Association (AMA)
Jin, Yunguo& Zhong, Shouming. A New Approach to the Method of Lyapunov Functionals and Its Applications. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-459660
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-459660