ABSTRACT

This paper is concerned with a stochastic multigroup S-DI-A model for the transmission of HIV with general incidence rate. We obtain sufficient criteria for the existence and uniqueness of an ergodic stationary distribution of the positive solutions to the model by constructing a proper stochastic Lyapunov function. The stationary distribution implies that the diseases will be persistent in the long term. Some numerical simulations are introduced to illustrate our theoretical result.

中文翻译：

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HIV 传播的随机多组 S-DI-A 模型的动力学

摘要

本文关注以一般发病率传播 HIV 的随机多组 S-DI-A 模型。通过构造适当的随机 Lyapunov 函数，我们获得了模型正解的遍历平稳分布的存在性和唯一性的充分标准。平稳分布意味着疾病将长期持续存在。引入了一些数值模拟来说明我们的理论结果。