Equilibrium Analysis of a Yellow Fever Dynamical Model with Vaccination
Joint Authors
Martorano Raimundo, Silvia
Massad, Eduardo
Amaku, Marcos
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-05
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We propose an equilibrium analysis of a dynamical model of yellow fever transmission in the presence of a vaccine.
The model considers both human and vector populations.
We found thresholds parameters that affect the development of the disease and the infectious status of the human population in the presence of a vaccine whose protection may wane over time.
In particular, we derived a threshold vaccination rate, above which the disease would be eradicated from the human population.
We show that if the mortality rate of the mosquitoes is greater than a given threshold, then the disease is naturally (without intervention) eradicated from the population.
In contrast, if the mortality rate of the mosquitoes is less than that threshold, then the disease is eradicated from the populations only when the growing rate of humans is less than another threshold; otherwise, the disease is eradicated only if the reproduction number of the infection after vaccination is less than 1.
When this reproduction number is greater than 1, the disease will be eradicated from the human population if the vaccination rate is greater than a given threshold; otherwise, the disease will establish itself among humans, reaching a stable endemic equilibrium.
The analysis presented in this paper can be useful, both to the better understanding of the disease dynamics and also for the planning of vaccination strategies.
American Psychological Association (APA)
Martorano Raimundo, Silvia& Amaku, Marcos& Massad, Eduardo. 2015. Equilibrium Analysis of a Yellow Fever Dynamical Model with Vaccination. Computational and Mathematical Methods in Medicine،Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1057913
Modern Language Association (MLA)
Martorano Raimundo, Silvia…[et al.]. Equilibrium Analysis of a Yellow Fever Dynamical Model with Vaccination. Computational and Mathematical Methods in Medicine No. 2015 (2015), pp.1-12.
https://search.emarefa.net/detail/BIM-1057913
American Medical Association (AMA)
Martorano Raimundo, Silvia& Amaku, Marcos& Massad, Eduardo. Equilibrium Analysis of a Yellow Fever Dynamical Model with Vaccination. Computational and Mathematical Methods in Medicine. 2015. Vol. 2015, no. 2015, pp.1-12.
https://search.emarefa.net/detail/BIM-1057913
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1057913