带有恢复率的随机HIV感染模型的灭绝性和平稳分布

Extinction and ergodic distribution of a stochastic HIV infection model with recovery rate

研究一类具有恢复率的随机HIV感染模型,利用Itô公式证明了模型全局正解的存在唯一性;通过构造合适的Lyapunov函数,给出了疾病灭绝和存在平稳分布的阈值条件;最后,数值模拟验证了理论分析的正确性和有效性.

This paper studies a kind of stochastic HIV infection model with recovery rate,and uses Itôformulas to prove the existence and uniqueness of the global positive solution of the system.By constructing a suitable Lyapunov function,the threshold conditions for disease extinction and existence of ergodic stationary distribution are given.Finally,some numerical simulations are performed to verify the correctness and validity of the theoretical results.