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Follow up estimation of Aedes aegypti entomological parameters and mathematical modellings
Authors:Yang Hyun Mo  Macoris Maria de Lourdes da Graça  Galvani Karen Cristina  Andrighetti Maria Teresa Macoris
Institution:a UNICAMP - IMECC, Departamento de Matemática Aplicada, Caixa Postal 6065, CEP: 13081-970, Campinas, SP, Brazil
b SUCEN, Avenida Santo Antonio, 1627, Bairro Somenzari, CEP: 17506-040, Marília, SP, Brazil
Abstract:The dengue virus is a vector-borne disease transmitted by mosquito Aedes aegypti and the incidence is strongly influenced by temperature and humidity which vary seasonally. To assess the effects of temperature on dengue transmission, mathematical models are developed based on the population dynamics theory. However, depending on the hypotheses of the modelling, different outcomes regarding to the risk of epidemics are obtained. We address this question comparing two simple models supplied with model's parameters estimated from temperature-controlled experiments, especially the entomological parameters regarded to the mosquito's life cycle in different temperatures. Once obtained the mortality and transition rates of different stages comprising the life cycle of mosquito and the oviposition rate, we compare the capacity of vector reproduction (the basic offspring number) and the risk of infection (basic reproduction number) provided by two models. The extended model, which is more realistic, showed that both mosquito population and dengue risk are situated at higher values than the simplified model, even that the basic offspring number is lower.
Keywords:Aedes aegypti  Population dynamics theory  Basic offspring number  Basic reproduction number  Follow up experiment  Parametrized estimation
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