Global stability of multi‐group SAIRS epidemic models
DOI10.1002/mma.9303arXiv2202.02993OpenAlexW4319784567MaRDI QIDQ6185420
Stefania Ottaviano, Mattia Sensi, Sara Sottile
Publication date: 8 January 2024
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.02993
Lyapunov functionsglobal asymptotic stabilitybasic reproduction numbervaccinationgraph-theoretic methodmulti-group modelssusceptible-asymptomatic infected-symptomatic infected-recovered-susceptible
Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)
Cites Work
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- Compact pairwise models for epidemics with multiple infectious stages on degree heterogeneous and clustered networks
- The \(N\)-intertwined SIS epidemic network model
- Global stability of multigroup epidemic model with group mixing and nonlinear incidence rates
- Global stability of two-group SIR model with random perturbation
- Global-stability problem for coupled systems of differential equations on networks
- Stability of the endemic equilibrium in epidemic models with subpopulations
- A deterministic model for gonorrhea in a nonhomogeneous population
- The effects of asymptomatic attacks on the spread of infectious disease: A deterministic model
- Uniform persistence and flows near a closed positively invariant set
- Global stability of a two-stage epidemic model with generalized non-linear incidence
- Global dynamics of a SEIR model with varying total population size
- Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
- Global stability of multi-group SEIR epidemic models with distributed delays and nonlinear transmission
- Global stability for a multi-group SIRS epidemic model with varying population sizes
- Visualizing the invisible: the effect of asymptomatic transmission on the outbreak dynamics of COVID-19
- Global stability of SAIRS epidemic models
- Global stability of a multiple infected compartments model for waterborne diseases
- Further stability analysis for a multi-group SIRS epidemic model with varying total population size
- A model for the emergence of drug resistance in the presence of asymptomatic infections
- Compartmental Disease Models with Heterogeneous Populations: A Survey
- Global Stability of Infectious Disease Models Using Lyapunov Functions
- Community Networks with Equitable Partitions
- Epidemic Outbreaks in Networks with Equitable or Almost-Equitable Partitions
- A graph-theoretic approach to the method of global Lyapunov functions
- Further Notes on the Basic Reproduction Number
- Stability and Bifurcation for a Multiple-Group Model for the Dynamics of HIV/AIDS Transmission
- Global stability of multi-group SEIRS epidemic models with vaccination
- Some aspects of the Markovian SIRS epidemic on networks and its mean‐field approximation
- The Role of Asymptomatic Infections in the COVID-19 Epidemic via Complex Networks and Stability Analysis
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