Joint impacts of media, vaccination and treatment on an epidemic Filippov model with application to COVID-19

DOI10.1016/j.jtbi.2021.110698zbMath1466.92177OpenAlexW3152221430MaRDI QIDQ2031775

Hongying Shu, Jiawei Deng, Sanyi Tang

Publication date: 14 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.jtbi.2021.110698

zbMATH Keywords

global dynamicssliding domainCOVID-19containment strategiesFilippov epidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23)

Related Items (13)

Global dynamics for a Filippov system with media effects ⋮ Threshold dynamics of a stochastic SIHR epidemic model of COVID-19 with general population-size dependent contact rate ⋮ Optimal control and cost-effectiveness analysis for a COVID-19 model with individual protection awareness ⋮ Threshold dynamics of an age-structured infectious disease model with limited medical resources ⋮ Stability analysis of the COVID-19 model with age structure under media effect ⋮ Dynamic analysis of a VSEIR model with vaccination efficacy and immune decline ⋮ Asymptotic behavior of the solutions for a stochastic SIRS model with information intervention ⋮ Complete characterization of dynamical behavior of stochastic epidemic model motivated by Black-Karasinski process: COVID-19 infection as a case ⋮ Global dynamics of a space-age structured Covid-19 model coupling within-host infection and between-host transmission ⋮ Modelling COVID-19 dynamics and potential for herd immunity by vaccination in Austria, Luxembourg and Sweden ⋮ A behavioural modelling approach to assess the impact of COVID-19 vaccine hesitancy ⋮ Dynamics and strategies evaluations of a novel reaction-diffusion COVID-19 model with direct and aerosol transmission ⋮ Global multistability and mechanisms of a memristive autapse-based Filippov Hindmash-Rose neuron model

Cites Work

• Unnamed Item
• Unnamed Item
• Dynamics of an SIR epidemic model with limited medical resources revisited
• Backward bifurcation of an epidemic model with saturated treatment function
• Global stability of an SIR epidemic model with information dependent vaccination
• Stability and bifurcation analysis of an SIR epidemic model with logistic growth and saturated treatment
• A Filippov model describing the effects of media coverage and quarantine on the spread of human influenza
• Vaccination threshold size and backward bifurcation of SIR model with state-dependent pulse control
• Saturation recovery leads to multiple endemic equilibria and backward bifurcation
• On the Lambert \(w\) function
• Dynamics of an infectious diseases with media/psychology induced non-smooth incidence
• Backward bifurcation and stability analysis of a network-based SIS epidemic model with saturated treatment function
• A Filippov system describing media effects on the spread of infectious diseases
• Global dynamics and sliding motion in A(H7N9) epidemic models with limited resources and Filippov control
• The impact of media on the control of infectious diseases
• Media/psychological impact on multiple outbreaks of emerging infectious diseases
• Backward bifurcation of an epidemic model with treatment
• SLIDING BIFURCATION AND GLOBAL DYNAMICS OF A FILIPPOV EPIDEMIC MODEL WITH VACCINATION
• Bifurcations in Nonsmooth Dynamical Systems
• One-Parameter Bifurcations in Planar Filippov Systems

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