CLT for the Proportion of Infected Individuals for an Epidemic Model on a Complete Graph

Autor(es)

Machado, F. ^[1] ; Mashurian, H. ^[2] ; Matzinger, H.

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo - Brazil

^[2] Univ Bielefeld, Fak Math, Bielefeld - Germany

• Tipo de documento: Artigo Científico
• Fonte: Markov Processes and Related Fields; v. 17, n. 2, p. 209-224, 2011.
• Citações Web of Science: 5

Resumo

We prove a Central Limit Theorem for the proportion of infected individuals for an epidemic model by dealing with a discrete time system of simple random walks on a complete graph with n vertices. Each random walk makes a role of a virus. Individuals are all connected as vertices in a complete graph. A virus duplicates each time it hits a susceptible individual, dying as soon as it hits an already infected individual. The process stops as soon as there is no more viruses. This model is closely related to some epidemiological models like those for virus dissemination in a computer network. (AU)

• Processo FAPESP: 09/18253-7 - Modelagem estocástica de população biológica
• Beneficiário: Fabio Prates Machado
• Linha de fomento: Bolsas no Exterior - Pesquisa
• Processo FAPESP: 06/07320-7 - Heinrich Matzinger | Universidade Bielefeld - Alemanha
• Beneficiário: Fabio Prates Machado
• Linha de fomento: Auxílio à Pesquisa - Pesquisador Visitante - Internacional