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.

Bibliographische Detailangaben

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
Online-Zugang:	Volltext
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