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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.
Acknowledgments
This work is supported by the National Natural Science Foundation of China (No.11871473) and Shandong Provincial Natural Science Foundation (No.ZR2019MA010).
Disclosure statement
No potential conflict of interest was reported by the author(s).
Additional information
Funding
This work is supported by the National Natural Science Foundation of China [grant number 11871473] and Shandong Provincial Natural Science Foundation [grant number ZR2019MA010].