{"title":"SEMICLASSICAL SOLUTIONS OF THE CHOQUARD EQUATIONS IN $mathbb{R}$3","authors":"Ke Jin, Zifei Shen","doi":"10.11948/20200388","DOIUrl":"https://doi.org/10.11948/20200388","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"138 1","pages":"568-586"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73967159","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}
{"title":"EXISTENCE AND ASYMPTOTIC BEHAVIOR OF TRAVELING WAVES IN A HOST-VECTOR EPIDEMIC MODEL","authors":"Xijun Deng, Aiyong Chen","doi":"10.11948/20180197","DOIUrl":"https://doi.org/10.11948/20180197","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"50 1","pages":"602-613"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73781422","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}
{"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":"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}
In this paper, we study the Raǐkov completion of invariant fuzzy metric groups and complete fuzzy metric semigroups (in the sense of Kramosil and Michael). We establish that: (1) if ( G, M, ∗ ) is a fuzzy metric group such that ( M, ∗ ) is invariant, then the Raǐkov completion ϱG of ( G, τ M ) is a fuzzy metric group ( ϱG, f M, ∗ ) such that ( f M, ∗ ) is invariant on ϱG and f M | G × G × [0 , ∞ ) = M ; (2) if ( G, M, ∗ ) is a fuzzy metric semigroup such that ( M, ∗ ) is invariant, then a fuzzy metric completion ( e G, f M, ∗ ) of ( G, M, ∗ ) is a fuzzy metric semigroup and ( f M, ∗ ) is invariant.
本文研究了不变模糊度量群和完全模糊度量半群(在Kramosil和Michael意义上)的Raǐkov补齐性。我们证明:(1)如果(G, M，∗)是一个模糊度量群使得(M，∗)是不变的，那么(G， τ M)的Raǐkov补全ϱG是一个模糊度量群(ϱG, f M，∗)使得(f M，∗)在ϱG上是不变的并且f M | G × G ×[0，∞)= M;(2)如果(G, M，∗)是一个模糊度量半群，使得(M，∗)是不变的，则(G, M，∗)的模糊度量补全(G, f M，∗)是一个模糊度量半群并且(f M，∗)是不变的。
{"title":"COMPLETE INVARIANT FUZZY METRICS ON SEMIGROUPS AND GROUPS","authors":"Jin-Ji Tu, L. Xie","doi":"10.11948/20190394","DOIUrl":"https://doi.org/10.11948/20190394","url":null,"abstract":"In this paper, we study the Raǐkov completion of invariant fuzzy metric groups and complete fuzzy metric semigroups (in the sense of Kramosil and Michael). We establish that: (1) if ( G, M, ∗ ) is a fuzzy metric group such that ( M, ∗ ) is invariant, then the Raǐkov completion ϱG of ( G, τ M ) is a fuzzy metric group ( ϱG, f M, ∗ ) such that ( f M, ∗ ) is invariant on ϱG and f M | G × G × [0 , ∞ ) = M ; (2) if ( G, M, ∗ ) is a fuzzy metric semigroup such that ( M, ∗ ) is invariant, then a fuzzy metric completion ( e G, f M, ∗ ) of ( G, M, ∗ ) is a fuzzy metric semigroup and ( f M, ∗ ) is invariant.","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"66 6 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87758276","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":"NEW EXISTENCE, UNIQUENESS RESULTS FOR MULTI-DIMENSIONAL MULTI-TERM CAPUTO TIME-FRACTIONAL MIXED SUB-DIFFUSION AND DIFFUSION-WAVE EQUATION ON CONVEX DOMAINS","authors":"Pratibha Verma, M. Kumar","doi":"10.11948/20200217","DOIUrl":"https://doi.org/10.11948/20200217","url":null,"abstract":"","PeriodicalId":48811,"journal":{"name":"Journal of Applied Analysis and Computation","volume":"16 1","pages":"1455-1480"},"PeriodicalIF":1.1,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88023878","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}
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