Dynamical behavior of a stochastic multigroup staged-progression HIV model with saturated incidence rate and higher-order perturbations  

作　　者：Qun Liu Daqing Jiang 

机构地区：[1]Key Laboratory of Applied Statistics of MOE School of Mathenatics and Statistics,Northeast Normal University Changchun 130024,Jilin Province,P.R.China [2]College of Science,China University of PetroleumQingdao 266580,Shandong Province,P.R.China [3]Nonlinear Analysis and Applied Mathematics(NAAM)-Research Group King Abdulaziz University,Jeddah,Saudi Arabia

出　　处：《International Journal of Biomathematics》2021年第7期45-83,共39页生物数学学报（英文版）

基　　金：This work is supported by the National Natural Science Foundation of China(Nos.12001090 and 11871473);Shandong Provincial Natural Science Foundation(No.ZR2019MA010);the Fundamental Research Funds for the Central Universitiesof China(No.2412020QD024).

摘　　要：In this paper,we analyze a higher-order stochastically perturbed multigroup staged-progression model for the transmission of HlV with saturated incidence rate.We obtainsufficient conditions for the existence and uniqueness of an ergodic stationary distribu-tion of positive solutions to the system by establishing a suitable stochastic Lyapunovfunction.In addition,we make up adequate conditions for complete eradication and wip-ing out the infectious disease.In a biological interpretation,the existence of a stationarydistribution implies that the disease will prevail and persist in the long term.Finally,examples and numerical simulations are introduced to validate our theoretical results.

关 键 词：Multigroup HlV model staged progression saturated incidence rate station-ary distribution and ergodicity EXTINCTION 

分 类 号：O17[理学—数学]