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Phase transitions and critical phenomena in stochastic models describing population dynamics

Grant number: 15/02100-8
Support type:Scholarships in Brazil - Doctorate
Effective date (Start): May 01, 2015
Effective date (End): February 28, 2019
Field of knowledge:Physical Sciences and Mathematics - Physics - General Physics
Cooperation agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
Principal researcher:Mário José de Oliveira
Grantee:Alexander Hideki Oniwa Wada
Home Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated scholarship(s):17/08631-0 - Nonequilibrium phase transitions in the presence of temporal disorder, BE.EP.DR

Abstract

We intent to study the time evolution of biological populations, including epidemic spreading, by the point of view of the stochastic dynamics. Among the models that we will study there are generalizations of the cyclic model susceptible-infected-recovered-susceptible for four or more states. We will analize the phase transition and the critical behavior in Bravais lattices in many dimensions and complex networks. Those models are defined by the rate transition between states, so the main approach is by using numerical simulations. The most important task is to determine the critical behavior and the critical exponents. (AU)

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