Title
Maximum equilibrium prevalence of mosquito-borne microparasite infections in humans.
Abstract
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.
Year
DOI
Venue
2013
10.1155/2013/659038
COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE
Keywords
Field
DocType
algorithms,dengue,stochastic processes,prevalence,insect vectors,basic reproduction number
Vector (epidemiology),Microparasite,Biology,Force of infection,Malaria,Artificial intelligence,Basic reproduction number,Virology,Dengue fever,Machine learning,Veterinary medicine
Journal
Volume
ISSN
Citations 
2013
1748-670X
1
PageRank 
References 
Authors
0.41
1
5