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Global Stability of Vector-Host Disease with Variable Population Size
Joint Authors
Zaman, Gul
Khan, Muhammad Altaf
Khan, Sher Afzal
Islam, Saeed
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-09
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The paper presents the vector-host disease with a variability in population.
We assume, the disease is fatal and for some cases the infected individuals become susceptible.
We first show the local and global stability of the disease-free equilibrium, for the case when R0<1.
We also show that for R0<1, the disease free-equilibrium of the model is both locally as well as globally stable.
For R0>1, there exists a unique positive endemic equilibrium.
For R0>1, the disease persistence occurs.
The endemic equilibrium is locally as well as globally asymptotically stable for R0>1.
Numerical results are presented for the justifications of theoratical results.
American Psychological Association (APA)
Khan, Muhammad Altaf& Islam, Saeed& Khan, Sher Afzal& Zaman, Gul. 2013. Global Stability of Vector-Host Disease with Variable Population Size. BioMed Research International،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1030825
Modern Language Association (MLA)
Khan, Muhammad Altaf…[et al.]. Global Stability of Vector-Host Disease with Variable Population Size. BioMed Research International No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1030825
American Medical Association (AMA)
Khan, Muhammad Altaf& Islam, Saeed& Khan, Sher Afzal& Zaman, Gul. Global Stability of Vector-Host Disease with Variable Population Size. BioMed Research International. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1030825
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1030825