SDE SIS epidemic model with demographic stochasticity and varying population size

作者：

Highlights：

• An SDE SIS epidemic model with demographic stochasticity is developed.

• Existence of a unique non-negative solution is shown.

• An upper bound is found for the infectives in terms of the population size.

• The infectives and susceptibles go extinct in finite time a.s.

• Results are supported numerically, some with real examples.

摘要

•An SDE SIS epidemic model with demographic stochasticity is developed.•Existence of a unique non-negative solution is shown.•An upper bound is found for the infectives in terms of the population size.•The infectives and susceptibles go extinct in finite time a.s.•Results are supported numerically, some with real examples.

论文关键词：Two dimensional SIS epidemic model,Demographic stochasticity,Varying population size,Extinction,Stochastic differential equations,Brownian motion

论文评审过程：Received 14 July 2015, Revised 12 November 2015, Accepted 30 November 2015, Available online 7 January 2016, Version of Record 7 January 2016.

论文官网地址：https://doi.org/10.1016/j.amc.2015.11.094