第40卷第2期2023年3月新疆大学学报（自然科学版）（中英文）JournalofXinjiangUniversity(NaturalScienceEditioninChineseandEnglish)Vol.40,No.2Mar.,2023具有高危易感年龄和潜伏期年龄的HIV传播模型研究∗王雅萍，王生福，聂麟飞†(新疆大学数学与系统科学学院，新疆乌鲁木齐830017)摘要：基于HIV的传播特点，将易感人群分为普通易感人群和高危易感人群，提出一类具有高危易感年龄和潜伏期年龄的HIV传播模型．利用下一代算子方法给出基本再生数R0的精确表达式．讨论无病平衡态和地方病平衡态的存在性与稳定性，即：当R0<1时无病平衡态全局渐近稳定，当R0>1时地方病平衡态全局渐近稳定．关键词：HIV传播；高危易感人群；潜伏期年龄；基本再生数；稳定性DOI：10.13568/j.cnki.651094.651316.2022.04.06.0001中图分类号：O175文献标识码：A文章编号：2096-7675(2023)02-0160-09引文格式：王雅萍,王生福,聂麟飞.具有高危易感年龄和潜伏期年龄的HIV传播模型研究[J].新疆大学学报(自然科学版)(中英文),2023,40(2):160-168+174.英文引文格式：WANGYaping,WANGShengfu,NIELinfei.AnalysisofHIVtransmissionmodelwithhigh-risksusceptibleageandlatentage[J].JournalofXinjiangUniversity(NaturalScienceEditioninChineseandEnglish),2023,40(2):160-168+174.AnalysisofHIVTransmissionModelwithHigh-RiskSusceptibleAgeandLatentAgeWANGYaping,WANGShengfu,NIELinfei(SchoolofMathematicsandSystemSciences,XinjiangUniversity,UrumqiXinjiang830017,China)Abstract：BasedonthetransmissioncharacteristicsofHIV,thesusceptiblepopulationisdividedintogeneralsusceptiblepopulationandhigh-risksusceptiblepopulation,andanHIVtransmissionmodelwithhigh-risksuscep-tibleageandlatentageisdeveloped.TheexactexpressionofthebasicreproductionnumberR0isobtainedbyusingthenextgenerationoperatormethod.Theexistenceandstabilityofdisease-freesteadystateandendemicsteadystatearediscussed,thatis,thedisease-freesteadystateisgloballyasymptoticallystableforR0<1andtheendemicsteadystateisgloballyasymptoticallystableforR0>1.Keywords：HIVtransmission;high-risksusceptiblepopulation;latentage;basicreproductionnumber;stability0引言艾滋病医学全名为获得性免疫缺陷综合征(AcquiredImmuneDeficiencySyndrome,AIDS),是一种危害性极大的传...
