Long-time behavior of a stochastic SIR model

Long-time behavior of a stochastic SIR model

In this paper, we analyze long-time behavior of densities of the distributions of the solution for a stochastic SIR epidemic model. We prove that the densities can converge in L1 to an invariant density or can converge weakly to a singular measure.

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Veröffentlicht in:Applied mathematics and computation 2014-06, Vol.236, p.1-9
Hauptverfasser: Lin, Yuguo, Jiang, Daqing, Xia, Peiyan
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic stability
Computation
Density
Diffusion process
Epidemics
Invariants
Markov semigroups
Mathematical models
Stochasticity
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Zusammenfassung:In this paper, we analyze long-time behavior of densities of the distributions of the solution for a stochastic SIR epidemic model. We prove that the densities can converge in L1 to an invariant density or can converge weakly to a singular measure.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.03.035