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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Solution of deterministic-stochastic epidemic models by dynamical Monte Carlo method

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Autor(es):
Aièllo, O. E. ; Haas, V. J. ; Silva, M. A. A. da ; Caliri, A.
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS; v. 282, n. 3/4, p. 546-558, July 2000.
Área do conhecimento: Ciências Exatas e da Terra - Probabilidade e Estatística
Assunto(s):Método de Monte Carlo   Fatores epidemiológicos
Resumo

This work is concerned with dynamical Monte Carlo (MC) method and its application to models originally formulated in a continuous-deterministic approach. Specifically, a susceptible-infected-removed-susceptible (SIRS) model is used in order to analyze aspects of the dynamical MC algorithm and achieve its applications in epidemic contexts. We first examine two known approaches to the dynamical interpretation of the MC method and follow with tilt: application of one of them in the SIRS model. The working method chosen is based on the Poisson process where hierarchy of events, properly calculated waiting time between events, and independence of the events simulated, are the basic requirements. To verify the consistence of the method, some preliminary MC results are compared against exact steady-state solutions and other general numerical results (provided by Runge-Kuna method): good agreement is found. Finally, a space-dependent extension of the SIRS model is introduced and treated by MC. The results are interpreted under and in accordance with aspects of the herd-immunity concept. (AU)

Processo FAPESP: 97/03575-0 - Folding de macromoléculas biológicas
Beneficiário:Marco Antonio Alves da Silva
Linha de fomento: Bolsas no Exterior - Pesquisa
Processo FAPESP: 95/00234-1 - Mecânica estatística e sistemas epidêmicos
Beneficiário:Vanderlei José Haas
Linha de fomento: Bolsas no Brasil - Doutorado