Modeling Chagas Disease at Population Level to Explain Venezuela's Real Data |
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Authors: | Gilberto González-Parra Benito M. Chen-Charpentier Moises Bermúdez |
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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 |
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Abstract: |
ObjectivesIn 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.MethodsThe 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.ResultsNumerical 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.ConclusionThe proposed model can be used to determine the effect of control strategies in different age groups. |
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Keywords: | age-structured model Chagas disease dynamic system triatomines Trypanosoma cruzi vector |
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