Global dynamics of SIR model with switched transmission rate

DOI10.1007/s00285-019-01460-2zbMath1440.34044OpenAlexW2997617322WikidataQ92407780 ScholiaQ92407780MaRDI QIDQ2299280

Samiha C. Rouf, Zuzana Chladná, Jana Kopfová, Dmitrii I. Rachinskii

Publication date: 21 February 2020

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-019-01460-2

zbMATH Keywords

endemic equilibriumpublic interventiondisease preventionSIR model dynamicsswitching transmission rate

Mathematics Subject Classification ID

Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (7)

Dynamics of SIR model with heterogeneous response to intervention policy ⋮ Network-based uncertainty quantification for mathematical models in epidemiology ⋮ Effect of quarantine strategies in a compartmental model with asymptomatic groups ⋮ Analytical features of the SIR model and their applications to COVID-19 ⋮ Dynamics of SIR model with vaccination and heterogeneous behavioral response of individuals modeled by the Preisach operator ⋮ Analysis of Pandemic Closing-Reopening Cycles Using Rigorous Homotopy Continuation: A Case Study with Montreal COVID-19 Data ⋮ Stability analysis of a model of epidemic dynamics with nonlinear feedback producing recurrent infection waves

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