Stochastically asymptotically stability of the multi-group SEIR and SIR models with random perturbation

DOI10.1016/j.cnsns.2011.07.025zbMath1243.92047OpenAlexW2014663278MaRDI QIDQ434775

Donal O'Regan, Daqing Jiang, Ravi P. Agarwal, Cheng-jun Yuan

Publication date: 16 July 2012

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.2011.07.025

zbMATH Keywords

Lyapunov functionBrownian motionItô formulaKirchhoff's matrix-tree theorem

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) Stochastic stability in control theory (93E15)

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