Algebraic form and analysis of SIR epidemic dynamics over probabilistic dynamic networks

DOI10.1007/s11768-023-00143-0zbMath1530.92287OpenAlexW4385420133MaRDI QIDQ6061960

Zhongxin Liu, Zeng-Qiang Chen, Rui Zhu, Hongxing Yuan, Zhipeng Zhang

Publication date: 30 November 2023

Published in: Control Theory and Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11768-023-00143-0

zbMATH Keywords

SIR epidemicsemi-tensor product of matricesalgebraic formfinal spreading equilibriaprobabilistic dynamic networks

Mathematics Subject Classification ID

Epidemiology (92D30) Systems biology, networks (92C42)

Cites Work

• Exact analytical solutions of the susceptible-infected-recovered (SIR) epidemic model and of the SIR model with equal death and birth rates
• Complete global stability for an SIR epidemic model with delay - distributed or discrete
• Completeness and normal form of multi-valued logical functions
• A comprehensive survey on STP approach to finite games
• A strategic learning algorithm for state-based games
• Analysis of SIR epidemic model with information spreading of awareness
• Minimal observability of Boolean control networks
• A state-flipped approach to complete synchronization of Boolean networks
• Matrix expression and vaccination control for epidemic dynamics over dynamic networks
• Dynamic output feedback stabilization of deterministic finite automata via the semi-tensor product of matrices approach
• Morgan’s problem of Boolean control networks
• Singular Boolean networks: Semi-tensor product approach
• State Feedback Stabilization of Large-Scale Logical Control Networks via Network Aggregation
• New Method for Disturbance Decoupling of Boolean Networks
• Agent Transformation of Bayesian Games
• Output feedback observability of switched Boolean control networks

This page was built for publication: Algebraic form and analysis of SIR epidemic dynamics over probabilistic dynamic networks