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Maximum Equilibrium Prevalence of Mosquito-Borne Microparasite Infections in Humans
Joint Authors
Burattini, Marcelo Nascimento
Lopez, Luis Fernandez
Massad, Eduardo
Amaku, Marcos
Coutinho, Francisco Antonio Bezerra
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-24
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
To determine the maximum equilibrium prevalence of mosquito-borne microparasitic infections, this paper proposes a general model for vector-borne infections which is flexible enough to comprise the dynamics of a great number of the known diseases transmitted by arthropods.
From equilibrium analysis, we determined the number of infected vectors as an explicit function of the model’s parameters and the prevalence of infection in the hosts.
From the analysis, it is also possible to derive the basic reproduction number and the equilibrium force of infection as a function of those parameters and variables.
From the force of infection, we were able to conclude that, depending on the disease’s structure and the model’s parameters, there is a maximum value of equilibrium prevalence for each of the mosquito-borne microparasitic infections.
The analysis is exemplified by the cases of malaria and dengue fever.
With the values of the parameters chosen to illustrate those calculations, the maximum equilibrium prevalence found was 31% and 0.02% for malaria and dengue, respectively.
The equilibrium analysis demonstrated that there is a maximum prevalence for the mosquito-borne microparasitic infections.
American Psychological Association (APA)
Amaku, Marcos& Burattini, Marcelo Nascimento& Coutinho, Francisco Antonio Bezerra& Lopez, Luis Fernandez& Massad, Eduardo. 2013. Maximum Equilibrium Prevalence of Mosquito-Borne Microparasite Infections in Humans. Computational and Mathematical Methods in Medicine،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-488965
Modern Language Association (MLA)
Amaku, Marcos…[et al.]. Maximum Equilibrium Prevalence of Mosquito-Borne Microparasite Infections in Humans. Computational and Mathematical Methods in Medicine No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-488965
American Medical Association (AMA)
Amaku, Marcos& Burattini, Marcelo Nascimento& Coutinho, Francisco Antonio Bezerra& Lopez, Luis Fernandez& Massad, Eduardo. Maximum Equilibrium Prevalence of Mosquito-Borne Microparasite Infections in Humans. Computational and Mathematical Methods in Medicine. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-488965
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488965