Qualitative and numerical analysis of epidemiological models of COVID-19 via differential equations with delay

• Grant number: 21/12708-4
• Support Opportunities: Regular Research Grants
• Duration: May 01, 2022 - April 30, 2024
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marta Cilene Gadotti
• Grantee: Marta Cilene Gadotti
• Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil
• Associated researchers: Luciano Aparecido Magrini

Abstract

This research project in Mathematics uses delayed functional differential equations for the study of epidemiological models, with an emphasis on recent work on modeling the COVID-19 pandemic. It is intended to investigate such models, in their original formulations and propose modifications throughout the research, in a mathematical perspective, when considering classical issues such as existence and uniqueness of solution, stability study, existence of periodic solution and asymptotic behavior, still little addressed in the published works. Additionally, through numerical-computational simulations of epidemiological dynamics considering populations and scenarios different from those already studied, it is expected to expand the knowledge of these dynamics, especially considering the Brazilian population. (AU)

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)

MAGRINI, LUCIANO APARECIDO; BARONI, MARIANA PELISSARI MONTEIRO AGUIAR; GOULART, AMARI; GADOTTI, MARTA CILENE. Correlations between COVID-19 cases and temperature, air humidity, and social isolating rate with cross wavelet transform and wavelet coherence: Case study of New York and Sao Paulo cities. Chaos, v. 33, n. 8, p. 13-pg., 2023-08-01. (21/12708-4)