Vectorial capacity, basic reproduction number, force of infection and all that: formal notation to complete and adjust their classical concepts and equations

A dimensional analysis of the classical equations related to the dynamics of vector-borne infections is presented. It is provided a formal notation to complete the expressions for the Ross' threshold theorem, the Macdonald's basic reproduction "rate" and sporozoite "rate&quo...

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Bibliographic Details
Published in:Memórias do Instituto Oswaldo Cruz 2012-06, Vol.107 (4), p.564-567
Main Authors: Massad, Eduardo, Coutinho, Francisco Antonio Bezerra
Format: Article
Language:English
Subjects:
Animals
Basic Reproduction Number
basic reproduction rate
dimensional analysis
Disease Transmission, Infectious
force of infection
Humans
Insect Vectors
Models, Biological
PARASITOLOGY
sporozoite rate
TROPICAL MEDICINE
vector-borne infections
vector-borne infections - basic reproduction rate - sporozoite rate - vectorial capacity - force of infection - dimensional analysis
vectorial capacity
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Summary:A dimensional analysis of the classical equations related to the dynamics of vector-borne infections is presented. It is provided a formal notation to complete the expressions for the Ross' threshold theorem, the Macdonald's basic reproduction "rate" and sporozoite "rate", Garret-Jones' vectorial capacity and Dietz-Molineaux-Thomas' force of infection. The analysis was intended to provide a formal notation that complete the classical equations proposed by these authors.
ISSN:1678-8060
0074-0276
1678-8060
0074-0276
DOI:10.1590/S0074-02762012000400022