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On the Global Dynamics of a Vector-Borne Disease Model with Age of Vaccination
Joint Authors
Source
International Journal of Differential Equations
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-03-15
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We study a vector-borne disease with age of vaccination.
A nonlinear incidence rate including mass action and saturating incidence as special cases is considered.
The global dynamics of the equilibria are investigated and we show that if the basic reproduction number is less than 1, then the disease-free equilibrium is globally asymptotically stable; that is, the disease dies out, while if the basic reproduction number is larger than 1, then the endemic equilibrium is globally asymptotically stable, which means that the disease persists in the population.
Using the basic reproduction number, we derive a vaccination coverage rate that is required for disease control and elimination.
American Psychological Association (APA)
Ouaro, Stanislas& Traoré, Ali. 2018. On the Global Dynamics of a Vector-Borne Disease Model with Age of Vaccination. International Journal of Differential Equations،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1170761
Modern Language Association (MLA)
Ouaro, Stanislas& Traoré, Ali. On the Global Dynamics of a Vector-Borne Disease Model with Age of Vaccination. International Journal of Differential Equations No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1170761
American Medical Association (AMA)
Ouaro, Stanislas& Traoré, Ali. On the Global Dynamics of a Vector-Borne Disease Model with Age of Vaccination. International Journal of Differential Equations. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1170761
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1170761