摘要
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.
作者
曹连英
宋孝吉
CAO Lian-ying;SONG Xiao-ji(School of Science,Northeast Forestry University,Harbin 150040,Heilongjiang,China)
出处
《西北师范大学学报(自然科学版)》
CAS
北大核心
2022年第1期24-31,共8页
Journal of Northwest Normal University(Natural Science)
基金
中央高校基本科研业务费资助项目(2572018BC20)
黑龙江省自然科学基金资助项目(C201408)
国家重点研发计划(2016YFD0600706-2)。