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Modeling Chagas Disease at Population Level to Explain Venezuela's Real Data
Authors:Gilberto González-Parra  Benito M. Chen-Charpentier  Moises Bermúdez
Affiliation:aGrupo Matemática Multidisciplinar, Faculdad Ingeniería Universidad de los Andes, Venezuela;bCentro de Investigaciones en Matemática Aplicada (CIMA), Universidad de los Andes, Venezuela;cDepartment of Mathematics, University of Texas at Arlington, Arlington, TX, USA;dUniversidad Nacional Experimental Sur de Lago Jesús María Semprum, Venezuela
Abstract:

Objectives

In this paper we present an age-structured epidemiological model for Chagas disease. This model includes the interactions between human and vector populations that transmit Chagas disease.

Methods

The human population is divided into age groups since the proportion of infected individuals in this population changes with age as shown by real prevalence data. Moreover, the age-structured model allows more accurate information regarding the prevalence, which can help to design more specific control programs. We apply this proposed model to data from the country of Venezuela for two periods, 1961–1971, and 1961–1991 taking into account real demographic data for these periods.

Results

Numerical computer simulations are presented to show the suitability of the age-structured model to explain the real data regarding prevalence of Chagas disease in each of the age groups. In addition, a numerical simulation varying the death rate of the vector is done to illustrate prevention and control strategies against Chagas disease.

Conclusion

The proposed model can be used to determine the effect of control strategies in different age groups.
Keywords:age-structured model   Chagas disease   dynamic system   triatomines   Trypanosoma cruzi   vector
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