A stochastic simplicial SIS model for complex networks

DOI10.1016/J.CNSNS.2023.107161OpenAlexW4319771803MaRDI QIDQ2700229

Javier Villarroel, Angel Tocino, Juan Hernández-Serrano, Daniel Hernández Serrano

Publication date: 20 April 2023

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2023.107161

zbMATH Keywords

stochastic differential equationssimplicial complexesstochastic stabilitySIS modelcomplex networksbasic reproductive numbermathematical epidemiologycontagion models

Mathematics Subject Classification ID

Small world graphs, complex networks (graph-theoretic aspects) (05C82) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic network models in operations research (90B15) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35) Simplicial sets and complexes in algebraic topology (55U10)

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Uses Software

• Holes

Cites Work

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• The Pricing of Options and Corporate Liabilities
• An Îto stochastic differential equations model for the dynamics of the MCF-7 breast cancer cell line treated by radiotherapy
• Networks beyond pairwise interactions: structure and dynamics
• A stochastic model of AIDS and condom use
• A survey of numerical methods for stochastic differential equations
• Network structure and the diffusion of knowledge
• Stability of the zero solution of nonlinear differential equations under the influence of white noise
• Stability of an SEIR epidemic model with independent stochastic perturbations
• Centralities in simplicial complexes. Applications to protein interaction networks
• Simplicial degree in complex networks. Applications of topological data analysis to network science
• Centrality measures in simplicial complexes: applications of topological data analysis to network science
• Pontryagin's maximum principle for optimal control of stochastic SEIR models
• Local stochastic stability of SIRS models without Lyapunov functions
• The Mathematics of Infectious Diseases
• A Stochastic Differential Equation SIS Epidemic Model
• The Behavior of an SIR Epidemic Model with Stochastic Perturbation
• Dynamics of cholera epidemic models in fluctuating environments
• Stabilization and Destabilization of Nonlinear Differential Equations by Noise
• The effect of a generalized nonlinear incidence rate on the stochastic SIS epidemic model
• The effect of heterogeneity on hypergraph contagion models
• An Introduction to Mathematical Epidemiology

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