A stochastic SICA epidemic model for HIV transmission

作者：Djordjevic, Jasmina; Silva, Cristiana J.; Torres, Delfim F. M.^*

来源：Applied Mathematics Letters, 2018, 84: 168-175.

DOI：10.1016/j.aml.2018.05.005

• SICA epidemic model
• HIV infection
• Stochastic differential equations
• Brownian motion
• Extinction and persistence

We propose a stochastic SICA epidemic model for HIV transmission, described by stochastic ordinary differential equations, and discuss its perturbation by environmental white noise. Existence and uniqueness of the global positive solution to the stochastic HIV system is proven, and conditions under which extinction and persistence in mean hold, are given. The theoretical results are illustrated via numerical simulations.

• 出版日期2018-10