Stochastic modeling for population biology

• Grant number: 09/18253-7
• Support Opportunities: Scholarships abroad - Research
• Start date: August 01, 2010
• End date: July 31, 2011
• Field of knowledge: Physical Sciences and Mathematics - Probability and Statistics - Probability
• Principal Investigator: Fabio Prates Machado
• Grantee: Fabio Prates Machado
• Host Investigator: Rinaldo Bruno Schinazi
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: University of Colorado, Colorado Springs (UCCS), United States
• Associated research grant: 09/52379-8 - Stochastic modeling of interacting systems, AP.TEM

Abstract

The objective of this project is to continue the study of models on random graphs for modeling topics such as the transmission of information in networks, construction of phylogenetic trees, epidemiological dynamics or population biology. Simplicity and flexibility are absolutely necessary conditions for this sort of models. Enough simplicity to allow some level of sophistication in the mathematical treatment and to obtain rigorous and meaningful probabilistic outcomes besides enough flexibility for enable applications to real systems. This project is dedicated to overseas training to be held in the Department of Mathematics, University of Colorado with Professor Rinaldo Schinazzi. During the implementation of this project, we will also strengthen the interaction with other researchers working in the United States as Heinrich Matzinger (Georgia Tech-USA) and in Europe as Fabio Zucca (Politecnico di Milano, Italy), Daniela Bertachar (Università di Milano, Italy) and Herve Guiol (Grenoble, France). (AU)

Scientific publications

(5)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

MACHADO, F.; MASHURIAN, H.; MATZINGER, H.. CLT for the Proportion of Infected Individuals for an Epidemic Model on a Complete Graph. Markov Processes and Related Fields, v. 17, n. 2, p. 209-224, 2011. (09/18253-7)

JUNIOR, VALDIVINO V.; MACHADO, FABLO P.; ZULUAGA, MAURICIO. The cone percolation on T-d. BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS, v. 28, n. 3, p. 367-375, AUG 2014. (09/18253-7)

JUNIOR, VALDIVINO V.; MACHADO, FABIO P.; ZULUAGA, MAURICIO. RUMOR PROCESSES ON N. JOURNAL OF APPLIED PROBABILITY, v. 48, n. 3, p. 624-636, SEP 2011. (09/18253-7)

LEBENSZTAYN, E.; MACHADO, F. P.; RODRIGUEZ, P. M.. LIMIT THEOREMS FOR A GENERAL STOCHASTIC RUMOUR MODEL. SIAM JOURNAL ON APPLIED MATHEMATICS, v. 71, n. 4, p. 1476-1486, 2011. (09/18253-7, 10/06967-2)

GUIOL, HERVE; MACHADO, FABIO P.; SCHINAZI, RINALDO. On a link between a species survival time in an evolution model and the Bessel distributions. BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS, v. 27, n. 2, p. 201-209, MAY 2013. (09/18253-7)