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- Title
Global Stability of Vector-Host Disease with Variable Population Size.
- Authors
Khan, Muhammad Altaf; Islam, Saeed; Khan, Sher Afzal; Zaman, Gul
- Abstract
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.
- Publication
BioMed Research International, 2013, Vol 2013, p1
- ISSN
2314-6133
- Publication type
Article
- DOI
10.1155/2013/710917