Stochastic epidemic metapopulation models on networks: SIS dynamics and control strategies

DOI10.1016/j.jtbi.2018.04.023zbMath1406.92584OpenAlexW2800536739WikidataQ88412293 ScholiaQ88412293MaRDI QIDQ1715252

Andrew L. Krause, Lawrence Kurowski, Kamran Yawar, Robert A. van Gorder

Publication date: 4 February 2019

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

Full work available at URL: https://ora.ox.ac.uk/objects/uuid:bd619e06-ae8e-4376-9979-caabf7bb4ad9

zbMATH Keywords

stochastic epidemic modelcontrol of epidemicsepidemics on networkssusceptibles-infectives-susceptibles (SIS) dynamics

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25)

Related Items (19)

Numerical solutions for optimal control of stochastic Kolmogorov systems with regime-switching and random jumps ⋮ The bifurcation analysis and optimal feedback mechanism for an SIS epidemic model on networks ⋮ Dynamical behavior of a stochastic SIQS epidemic model on scale-free networks ⋮ Optimal control and the value of information for a stochastic epidemiological SIS-model ⋮ Optimal control and numerical methods for hybrid stochastic SIS models ⋮ Exploring the epidemic spreading in a multilayer metapopulation network by considering individuals' periodic travelling ⋮ Metapopulation epidemic models with a universal mobility pattern on interconnected networks ⋮ Evolutionary dynamics of stochastic SEIR models with migration and human awareness in complex networks ⋮ Centrality-Based Traffic Restriction in Delayed Epidemic Networks ⋮ Comparing short-term univariate and multivariate time-series forecasting models in infectious disease outbreak ⋮ Global stability of multi-group SEIQR epidemic models with stochastic perturbation in computer network ⋮ Asymptotic behavior of the solutions for a stochastic SIRS model with information intervention ⋮ Global analysis of a vector-host epidemic model in stochastic environments ⋮ Local approximation of Markov chains in time and space ⋮ A stochastic differential equation SIS epidemic model with two correlated Brownian motions ⋮ Dynamical behaviors of a prey-predator model with foraging arena scheme in polluted environments ⋮ Numerical solutions for optimal control of stochastic Kolmogorov systems ⋮ Clustering for epidemics on networks: A geometric approach ⋮ An SIS epidemic model with time delay and stochastic perturbation on heterogeneous networks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Optimal vaccination and treatment of an epidemic network model
• The \(N\)-intertwined SIS epidemic network model
• A stochastic model of AIDS and condom use
• Analysis of a stochastic SIR epidemic on a random network incorporating household structure
• A deterministic model for gonorrhea in a nonhomogeneous population
• Global stability and optimal control of an SIRS epidemic model on heterogeneous networks
• Stochastic contagion models without immunity: their long term behaviour and the optimal level of treatment
• Limits of a multi-patch SIS epidemic model
• Extinction and recurrence of multi-group SEIR epidemic models with stochastic perturbations
• Comparison of deterministic and stochastic SIS and SIR models in discrete time
• Asymptotic behavior and stability of a stochastic model for AIDS transmission
• Stochastic multitype epidemics in a community of households: estimation and form of optimal vaccination schemes
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• How to distribute antidote to control epidemics
• The Pathwise Convergence of Approximation Schemes for Stochastic Differential Equations
• A Stochastic Differential Equation SIS Epidemic Model
• Analysis and Control of Epidemics: A Survey of Spreading Processes on Complex Networks
• The concept of R_o in epidemic theory
• Simple Algorithm for Virus Spreading Control on Complex Networks
• An Introduction to Mathematical Epidemiology
• STABILITY OF STOCHASTIC DELAYED SIR MODEL
• Modelling approaches for simple dynamic networks and applications to disease transmission models
• The Normal Law Under Linear Restrictions: Simulation and Estimation via Minimax Tilting
• Networks
• Pathwise approximation of random ordinary differential equations
• Stochastic differential equations. An introduction with applications.

This page was built for publication: Stochastic epidemic metapopulation models on networks: SIS dynamics and control strategies