Existence and qualitative properties of global solutions to abstract differential ...
Delay Differential equations, with applications in population dynamics
Global solutions for abstract differential equations with state dependent delay
Grant number: | 21/12708-4 |
Support Opportunities: | Regular Research Grants |
Start date: | May 01, 2022 |
End date: | 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)
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