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Stochastic dynamics of biological populations

Grant number: 12/22929-9
Support Opportunities:Scholarships in Brazil - Doctorate (Direct)
Effective date (Start): March 01, 2013
Effective date (End): February 28, 2017
Field of knowledge:Physical Sciences and Mathematics - Physics - Condensed Matter Physics
Principal Investigator:Tânia Tomé Martins de Castro
Grantee:Flávia Mayumi Ruziska Hirata
Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil


We aim to perform research in the area of non-equilibrium statistical physics. We will focus our attention on the following topics: (a) description of the dynamics of biological populations by means of stochastic dynamics in which the temporal evolution is governed by a master equation; (b) study of phase transitions in irreversible systems. We will consider spatially structured and stochastic models to describe: (I) dynamics of propagation of different types of epidemics; (II) diverse types of dynamics of coexistence of competitive species. In both cases, we will consider interacting biological elements distributed in non-homogeneous spaces. We will analyze, by means of methods of the statistical physics, non-equilibrium states and possible phase transitions in these models. Regarding the study of phase transitions, we will investigate universal behaviors and seek to identify classes of universality in these irreversible systems. (AU)

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Scientific publications
(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)
RUZISKA, FLAVIA M.; ARASHIRO, EVERALDO; TOME, TANIA. Stochastic dynamics for two biological species and ecological niches. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 489, p. 56-64, . (12/22929-9)
Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
HIRATA, Flávia Mayumi Ruziska. Stochastic Dynamics of Biological Poupulations. 2017. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Física (IF/SBI) São Paulo.

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