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Analysis of a Simple Vector-Host Epidemic Model with Direct Transmission
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-05-12
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Vector-host epidemic models with direct transmission are proposed and analyzed.
It is shown that the stability of the equilibria in the proposed models can be controlled by the basic reproduction number of the disease transmission.
One model considers that the dynamics of human hosts and vectors are described by SIS and SI model, respectively, where the global asymptotical stability for the equilibria of the model is analyzed by constructing Lyapunov function, respectively.
The other model considers that the dynamics of the human hosts and vectors are described by SIRS and SI model, respectively, where the global stability of the disease-free equilibrium and the persistence of the disease in the model are also analyzed, respectively.
American Psychological Association (APA)
Cai, Li-Ming& Li, Xuezhi. 2010. Analysis of a Simple Vector-Host Epidemic Model with Direct Transmission. Discrete Dynamics in Nature and Society،Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-489898
Modern Language Association (MLA)
Cai, Li-Ming& Li, Xuezhi. Analysis of a Simple Vector-Host Epidemic Model with Direct Transmission. Discrete Dynamics in Nature and Society No. 2010 (2010), pp.1-12.
https://search.emarefa.net/detail/BIM-489898
American Medical Association (AMA)
Cai, Li-Ming& Li, Xuezhi. Analysis of a Simple Vector-Host Epidemic Model with Direct Transmission. Discrete Dynamics in Nature and Society. 2010. Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-489898
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489898