The Impact of Nonlinear Stochastic Perturbation on Dynamical Behavior of an HIV Infection System

作     者：SUN Guanzhen LU Chun SUN Guanzhen;LU Chun

作者机构：Department of Environmental ScienceSchool of Environment and Municipal EngineeringQingdao University of TechnologyQingdao 266520China Department of MathematicsQingdao University of TechnologyQingdao266520China 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2023年第36卷第2期

页      面：632-655页

核心收录：

学科分类：0711[理学-系统科学] 02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 1004[医学-公共卫生与预防医学(可授医学、理学学位)] 100401[医学-流行病与卫生统计学] 0811[工学-控制科学与工程] 10[医学] 

基　　金：supported by the Natural Science Foundation of Shandong Province of China under Grant Nos.ZR2022MA008,ZR2018MA023,ZR2020QA008,ZR2019BA022 the National Natural Science Foundation of China under Grant No.11901329 the Project of Shandong Province Higher Educational Science and Technology Program of China under Grant No.J16LI09。 

主　　题：HIV model nonlinear stochastic perturbation stationary distribution two distinct cell subsets 

摘      要：In this paper,the authors develop and study an HIV infection system with two distinct cell subsets and nonlinear stochastic perturbation.Firstly,the authors obtain that the solution of the system is positive and global.Secondly,for the corresponding linear case,the authors derive a critical condition R0S similar to deterministic system.When R0S1,the authors establish sufficient conditions for the existence and uniqueness of an ergodic stationary distribution to the stochastic system,respectively.Finally,the authors give sufficient criterions for extinction of the diseases.The proposed work provides a new method in overcoming difficulty conduced by nonlinear stochastic perturbation.