Two-group SIR epidemic model with stochastic perturbation

DOI10.1007/s10114-012-9668-3zbMath1261.92046OpenAlexW2055409516MaRDI QIDQ1941320

Chunyan Ji, Daqing Jiang, Ning-Zhong Shi

Publication date: 12 March 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-9668-3

zbMATH Keywords

stochastic Lyapunov functionendemic equilibriumdisease-free equilibriumasymptotically stable in the largestochastic two-group SIR model

Mathematics Subject Classification ID

Epidemiology (92D30) Probabilistic models, generic numerical methods in probability and statistics (65C20) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

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A stochastic SIR epidemic model with density dependent birth rate

Cites Work

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• Quasi-sure limit theorem of parabolic stochastic partial differential equations
• Global stability of two-group SIR model with random perturbation
• A stochastic model of AIDS and condom use
• Global stability of an SIR epidemic model with constant infectious period
• A deterministic model for gonorrhea in a nonhomogeneous population
• An immunization model for a heterogeneous population
• Stability of epidemic model with time delays influenced by stochastic perturbations
• Numerical simulation of stochastic ordinary differential equations in biomathematical modelling.
• On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment
• Global asymptotic stability of an \(SIR\) epidemic model with distributed time delay.
• The dynamics of a new SIR epidemic model concerning pulse vaccination strategy
• Mean-square stability of a stochastic model for bacteriophage infection with time delays
• A stochastic model for internal HIV dynamics
• Exclusion and persistence in deterministic and stochastic chemostat models
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• The Influence of External Real and White Noise on the L<scp>OTKA</scp>‐V<scp>OLTERRA</scp> Model
• Modelling Biological Populations in Space and Time
• Ratio-dependent predator–prey model: effect of environmental fluctuation and stability
• Global behaviour of an SIR epidemic model with time delay