Global stability of SIR model with heterogeneous transmission rate modeled by the Preisach operator

DOI10.1137/22m154274xzbMATH Open1546.34107MaRDI QIDQ6564689

Dmitrii Rachinskii, Jana Kopfová, Ruofei Guan

Publication date: 1 July 2024

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

endemic equilibriumSIR modelswitched systemmultiple Lyapunov functionsPreisach hysteresis operatorswitching transmission rateconnected set of equilibrium states

Mathematics Subject Classification ID

Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Discontinuous ordinary differential equations (34A36) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Hysteresis for ordinary differential equations (34C55)

Cites Work

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• Evolving public perceptions and stability in vaccine uptake
• A generalization of the Kermack-McKendrick deterministic epidemic model
• Differential models of hysteresis
• A contribution to the mathematical theory of epidemics.
• Information-related changes in contact patterns may trigger oscillations in the endemic prevalence of infectious diseases
• Differential equations with hysteresis operators. existence of solutions, stability, and oscillations
• A core group model for disease transmission
• Hysteresis and phase transitions
• Dynamics of SIR model with vaccination and heterogeneous behavioral response of individuals modeled by the Preisach operator
• Global dynamics of SIR model with switched transmission rate
• Rational behavioral response and the transmission of STDs
• Memory Effects in Population Dynamics : Spread of Infectious Disease as a Case Study
• The Interplay Between Voluntary Vaccination and Reduction of Risky Behavior: A General Behavior-Implicit SIR Model for Vaccine Preventable Infections
• Stability analysis of deterministic and stochastic switched systems via a comparison principle and multiple Lyapunov functions
• Basic problems in stability and design of switched systems
• Rational Epidemics and Their Public Control
• Common Lyapunov Functions and Gradient Algorithms

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