Dynamical Behavior and Bifurcation Analysis of the SIR Model with Continuous Treatment and State-Dependent Impulsive Control

DOI10.1142/S0218127419501311zbMath1439.34051OpenAlexW2976677729WikidataQ127246194 ScholiaQ127246194MaRDI QIDQ5236665

Yanni Xiao, Qian Li

Publication date: 10 October 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127419501311

zbMATH Keywords

vaccinationSIR modelcontinuous treatmentstate-dependent feedback controlpositive order-\(k\) periodic solution

Mathematics Subject Classification ID

Epidemiology (92D30) Feedback control (93B52) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ordinary differential equations with impulses (34A37) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Complex behavior and chaotic systems of ordinary differential equations (34C28) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (7)

Analysis of a mathematical model with nonlinear susceptibles-guided interventions ⋮ Dynamics and bifurcation analysis of a state-dependent impulsive SIS model ⋮ Analysis of a hybrid SIR model combining the fixed-moments pulse interventions with susceptibles-triggered threshold policy ⋮ Bifurcation Analysis of a Generalized Impulsive Kolmogorov Model With Applications to Pest and Disease Control ⋮ Analysis of a general multi-group reaction-diffusion epidemic model with nonlinear incidence and temporary acquired immunity ⋮ Controlling Infectious Diseases: The Decisive Phase Effect on a Seasonal Vaccination Strategy ⋮ A ratio-dependent impulsive control of an SIQS epidemic model with non-linear incidence

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