H M Yang1. 1. Departamento de Matemática Aplicada do Instituto de Matemática, Estatística e Ciência da Computação, Universidade Estadual de Campinas. Campinas, SP, Brasil. hyunyang@ime.unicamp.br
Abstract
OBJECTIVE: Describe the overall transmission of malaria through a compartmental model, considering the human host and mosquito vector. METHODS: A mathematical model was developed based on the following parameters: human host immunity, assuming the existence of acquired immunity and immunological memory, which boosts the protective response upon reinfection; mosquito vector, taking into account that the average period of development from egg to adult mosquito and the extrinsic incubation period of parasites (transformation of infected but non-infectious mosquitoes into infectious mosquitoes) are dependent on the ambient temperature. RESULTS: The steady state equilibrium values obtained with the model allowed the calculation of the basic reproduction ratio in terms of the model's parameters. CONCLUSIONS: The model allowed the calculation of the basic reproduction ratio, one of the most important epidemiological variables.
OBJECTIVE: Describe the overall transmission of malaria through a compartmental model, considering the human host and mosquito vector. METHODS: A mathematical model was developed based on the following parameters: human host immunity, assuming the existence of acquired immunity and immunological memory, which boosts the protective response upon reinfection; mosquito vector, taking into account that the average period of development from egg to adult mosquito and the extrinsic incubation period of parasites (transformation of infected but non-infectious mosquitoes into infectious mosquitoes) are dependent on the ambient temperature. RESULTS: The steady state equilibrium values obtained with the model allowed the calculation of the basic reproduction ratio in terms of the model's parameters. CONCLUSIONS: The model allowed the calculation of the basic reproduction ratio, one of the most important epidemiological variables.
Authors: Daniel Ruiz; Germán Poveda; Iván D Vélez; Martha L Quiñones; Guillermo L Rúa; Luz E Velásquez; Juan S Zuluaga Journal: Malar J Date: 2006-08-01 Impact factor: 2.979
Authors: Teresa K Yamana; Arne Bomblies; Ibrahim M Laminou; Jean-Bernard Duchemin; Elfatih A B Eltahir Journal: Parasit Vectors Date: 2013-08-07 Impact factor: 3.876