{"title":"ON ADMM-BASED METHODS FOR SOLVING THE NEARNESS SYMMETRIC SOLUTION OF THE SYSTEM OF MATRIX EQUATIONS A1XB1 = C1 AND A2XB2 = C2","authors":"Yunda Wu, Min-Li Zeng","doi":"10.11948/20190282","DOIUrl":"https://doi.org/10.11948/20190282","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"8 1","pages":"227-241"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87487228","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"RANDOM PULLBACK ATTRACTOR FOR A NON-AUTONOMOUS MODIFIED SWIFT-HOHENBERG EQUATION WITH MULTIPLICATIVE NOISE","authors":"Yongjun Li, J. Wei, Zhengzhi Lu","doi":"10.11948/20200065","DOIUrl":"https://doi.org/10.11948/20200065","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"14 1","pages":"464-476"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74416987","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"BISTABILITY OF A TWO-SPECIES GILPIN-AYALA COMPETITION MODEL WITH STAGE STRUCTURE","authors":"Xizhuang Xie, J. Zhuang","doi":"10.11948/20190219","DOIUrl":"https://doi.org/10.11948/20190219","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"22 1","pages":"674-689"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78950098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ANALYSIS OF A STOCHASTIC SIS EPIDEMIC MODEL WITH TRANSPORT-RELATED INFECTION","authors":"Rong Liu, Guirong Liu, Taiyuan China Economics","doi":"10.11948/20200157","DOIUrl":"https://doi.org/10.11948/20200157","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"128 1","pages":"1296-1321"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79559013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A THEORETICAL STUDY ON SCHISTOSOMIASIS INFECTION MODEL: APPLICATION OF BIOLOGICAL OPTIMAL CONTROL","authors":"Mouhamadou Diaby, Lani Umi-Ird Ummisco, A. Iggidr","doi":"10.11948/20200029","DOIUrl":"https://doi.org/10.11948/20200029","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"24 1","pages":"367-403"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78000751","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Considering the effects of immune response and drug therapy on HIV treatment, an HIV mathematical control model with CTLs immune response is therefore proposed, where the delay of virus invasion and impulsive drug therapy are introduced. By utilizing the comparison theorem, differential inequality theories and analytic method, the threshold values for the existence and global stability of the virus-free periodic solution, and the uniform persistence of disease without CTLs immune response are studied. Numerical simulations are performed to illustrate the main theoretical results and the feasibility of drug therapy. Our theoretical results suggest that long-term and standardized medication can prolong the infection process and spread of the virus, or suppress the virus concentration below the detectable level.
{"title":"THE EFFECTS OF DELAY AND IMPULSIVE DRUG THERAPY IN AN HIV MODEL WITH CTLS IMMUNE RESPONSE","authors":"Lin-Xia Hu, L. Nie","doi":"10.11948/20190418","DOIUrl":"https://doi.org/10.11948/20190418","url":null,"abstract":"Considering the effects of immune response and drug therapy on HIV treatment, an HIV mathematical control model with CTLs immune response is therefore proposed, where the delay of virus invasion and impulsive drug therapy are introduced. By utilizing the comparison theorem, differential inequality theories and analytic method, the threshold values for the existence and global stability of the virus-free periodic solution, and the uniform persistence of disease without CTLs immune response are studied. Numerical simulations are performed to illustrate the main theoretical results and the feasibility of drug therapy. Our theoretical results suggest that long-term and standardized medication can prolong the infection process and spread of the virus, or suppress the virus concentration below the detectable level.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"14 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83675448","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"FRACTIONAL BOUNDARY VALUE PROBLEM WITH NABLA DIFFERENCE EQUATION","authors":"Qiaoluan Li, Yani Liu, Lina Zhou","doi":"10.11948/20200118","DOIUrl":"https://doi.org/10.11948/20200118","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"10 1","pages":"911-919"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81909477","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"MULTIPLE POSITIVE SOLUTIONS OF THE DISCRETE DIRICHLET PROBLEM WITH ONE-DIMENSIONAL PRESCRIBED MEAN CURVATURE OPERATOR","authors":"Yanqiong Lu, Ruyun Ma","doi":"10.11948/20200033","DOIUrl":"https://doi.org/10.11948/20200033","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"54 1","pages":"841-857"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73554872","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}