Advanced search
Start date
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Global Analysis of a piecewise smooth epidemiological model of COVID-19

Full text
Carvalho, Tiago [1] ; Cristiano, Rony [2] ; Rodrigues, Diego S. [3] ; Tonon, Durval J. [2]
Total Authors: 4
[1] Univ Sao Paulo, Fac Philosophy Sci & Letters Ribeirao Preto, Dept Comp & Math, BR-14040901 Ribeirao Preto, SP - Brazil
[2] Univ Fed Goias, Inst Math & Stat, Ave Esperanca S-N, Campus Samambaia, BR-74690900 Goiania, Go - Brazil
[3] Univ Estadual Campinas, Sch Technol, R Paschoal Marmo 1888, BR-13484332 Limeira, SP - Brazil
Total Affiliations: 3
Document type: Journal article
Source: NONLINEAR DYNAMICS; v. 105, n. 4 AUG 2021.
Web of Science Citations: 0

Despite the huge relevance of vaccines for preventing COVID-19, physical isolation and quarantine of infected individuals are still the key strategies to fight against the COVID-19 pandemic. Based on a COVID-19 transmission epidemiological model governed by ordinary differential equations, here we propose an intermittent non-pharmacological protocol to control the fraction of infected individuals. In our approach, unlike what generically happens for numerical simulation models, we provide a global analysis of the model, giving qualitative information about every initial condition. Under some simple hypothesis and variations of parameters, we present some bifurcations and we are able to predict the minimum social distancing effort that do not collapse the health system. (AU)

FAPESP's process: 19/10269-3 - Ergodic and qualitative theories of dynamical systems II
Grantee:Claudio Aguinaldo Buzzi
Support type: Research Projects - Thematic Grants
FAPESP's process: 19/10450-0 - Piecewise smooth vector fields: Closing Lemmas, shifts and horseshoe dynamics.
Grantee:Tiago de Carvalho
Support type: Regular Research Grants