Stability of epidemic models over directed graphs: A positive systems approach
From MaRDI portal
Publication:340647
DOI10.1016/j.automatica.2016.07.037zbMath1348.93226arXiv1407.6076OpenAlexW2964101545MaRDI QIDQ340647
Bahman Gharesifard, Ali Khanafer, Tamer Başar
Publication date: 14 November 2016
Published in: Automatica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1407.6076
Epidemiology (92D30) Applications of game theory (91A80) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Asymptotic stability in control theory (93D20)
Related Items (18)
Epidemic spread on one-way circular-coupled networks ⋮ On the competition of two conflicting messages ⋮ Multi-competitive viruses over time-varying networks with mutations and human awareness ⋮ Contagion and supervision of liquidity crisis in interbank markets: based on the SIS network model ⋮ Mean-Field Approximations for Stochastic Population Processes with Heterogeneous Interactions ⋮ Competitive pricing under local network effects ⋮ Optimal curing resource allocation for epidemic spreading processes ⋮ Credit risk contagion and optimal dual control -- an SIS/R model ⋮ A Markovian model for the spread of the SARS-CoV-2 virus ⋮ Event-triggered network-based state observer design of positive systems ⋮ Dynamic behaviour of competing memes' spread with alert influence in multiplex social-networks ⋮ Time-dependent solution of the NIMFA equations around the epidemic threshold ⋮ Mathematical analysis of the impact of transmission-blocking drugs on the population dynamics of malaria ⋮ Graph-Theoretic Stability Conditions for Metzler Matrices and Monotone Systems ⋮ Incentive rate determination in viral marketing ⋮ N-intertwined SIS epidemic model with Markovian switching ⋮ An SIS network model with flow driven infection rates ⋮ Contraction analysis of virtually positive systems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability criteria for SIS epidemiological models under switching policies
- On characterizations of the input-to-state stability property
- On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
- A deterministic model for gonorrhea in a nonhomogeneous population
- Epidemiological Models and Lyapunov Functions
- Global Stability of Infectious Disease Models Using Lyapunov Functions
- Optimal Resource Allocation for Network Protection Against Spreading Processes
- Existence and Uniqueness of Equilibrium Points for Concave N-Person Games
- Communication and epidemic processes
This page was built for publication: Stability of epidemic models over directed graphs: A positive systems approach
