Phase transitions and critical phenomena in stochastic models describing population dynamics

• Grant number: 15/02100-8
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date until: May 01, 2015
• End date until: February 28, 2019
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Agreement: Coordination of Improvement of Higher Education Personnel (CAPES)
• Principal Investigator: Mário José de Oliveira
• Grantee: Alexander Hideki Oniwa Wada
• Host 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)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

WADA, Alexander Hideki Oniwa. Phase transitions in biological population models with spatial and temporal disorder. 2019. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Física (IF/SBI) São Paulo.