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Stationary distribution of a stochastic SIS epidemic model with double diseases and the Beddington-DeAngelis incidence.

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In this paper, a stochastic Susceptible-Infected-Susceptible (SIS) epidemic model with double diseases and the Beddington-DeAngelis incidence is proposed and studied. Sufficient conditions for the existence of an ergodic stationary distribution… Click to show full abstract

In this paper, a stochastic Susceptible-Infected-Susceptible (SIS) epidemic model with double diseases and the Beddington-DeAngelis incidence is proposed and studied. Sufficient conditions for the existence of an ergodic stationary distribution of the positive solutions to the model are obtained via the Lyapunov function method. The existence of stationary distribution implies stochastic stability to some extent.

Keywords: sis epidemic; stationary distribution; model double; epidemic model; model

Journal Title: Chaos
Year Published: 2017

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