GLOBAL ASYMPTOTICAL PROPERTIES FOR A DIFFUSED HBV INFECTION MODEL WITH CTL IMMUNE RESPONSE AND NONLINEAR INCIDENCE
This article proposes a diffused hepatitis B virus （HBV） model with CTL immune response and nonlinear incidence for the control of viral infections. By means of different Lyapunov functions, the global asymptotical properties of the viral-free equilibrium and immune-free equilibrium of the model are...
Saved in:
| Published in | Acta mathematica scientia Vol. 31; no. 5; pp. 1959 - 1967 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.09.2011
College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China%College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China%Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0252-9602 1572-9087 |
| DOI | 10.1016/S0252-9602(11)60374-3 |
Cover
| Abstract | This article proposes a diffused hepatitis B virus （HBV） model with CTL immune response and nonlinear incidence for the control of viral infections. By means of different Lyapunov functions, the global asymptotical properties of the viral-free equilibrium and immune-free equilibrium of the model are obtained. Global stability of the positive equilibrium of the model is also considered. The results show that the free diffusion of the virus has no effect on the global stability of such HBV infection problem with Neumann homogeneous boundary conditions. |
|---|---|
| AbstractList | This article proposes a diffused hepatitis B virus （HBV） model with CTL immune response and nonlinear incidence for the control of viral infections. By means of different Lyapunov functions, the global asymptotical properties of the viral-free equilibrium and immune-free equilibrium of the model are obtained. Global stability of the positive equilibrium of the model is also considered. The results show that the free diffusion of the virus has no effect on the global stability of such HBV infection problem with Neumann homogeneous boundary conditions. S858.28; This article proposes a diffused hepatitis B virus (HBV) model with CTLimmune response and nonlinear incidence for the control of viral infections.By means of different Lyapunov functions,the global asymptotical properties of the viral-free equilibrium and immune-free equilibrium of the model are obtained.Global stability of the positive equilibrium of the model is also considered.The results show that the free diffusion of the virus has no effect on the global stability of such HBV infection problem with Neumann homogeneous boundary conditions. This article proposes a diffused hepatitis B virus (HBV) model with CTL immune response and nonlinear incidence for the control of viral infections. By means of different Lyapunov functions, the global asymptotical properties of the viral-free equilibrium and immune-free equilibrium of the model are obtained. Global stability of the positive equilibrium of the model is also considered. The results show that the free diffusion of the virus has no effect on the global stability of such HBV infection problem with Neumann homogeneous boundary conditions. |
| Author | 王绍利 冯新龙 何银年 |
| AuthorAffiliation | Faculty of Science, Xi＇an Jiaotong University;College of Mathematics and Systems Science, Xinjiang University |
| AuthorAffiliation_xml | – name: Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China%College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China%Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China;College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China |
| Author_xml | – sequence: 1 fullname: 王绍利 冯新龙 何银年 |
| BookMark | eNqFkU9vmzAYh9HUSUu7fYRJ3q090PkPdkA7TCmYBolABGTTTpYxpqOi0GKydt9-TtPtsEtPlq3neX_W7z11ToZx0I7zEcFLBBH7XEJMsRswiM8RumCQLD2XvHEWiC7tM_SXJ87iH_LOOTXmFloPM2_hTNdpfrVKwar8sdlWeZWE9rIt8i0vqoSXIM4LsAJREse7kkdgffUNJFnMwyrJM7DJI56C70m1BmGVgmSz2WUcFLzc5lnJwSqLQJZnaZLxVWG1MIl4FvL3zttW9kZ_eDnPnF3Mq3Dtpvn1Id5VHsSzSxSRfgsDD9WKMiUbHSgWIEpr4utGQ0raGrW4ZYGPkGyUlpQy6hNNAuV5NSJnzsVx7qMcWjnciNtxPw02UZinx_6pFhpDhCCF2LPs-ZG9n8aHvTazuOuM0n0vBz3ujbA9ezDwMWUWpUdUTaMxk27F_dTdyem3hQ4cE8_7EIeyBULieR-CWO_Lf57qZjl34zBPsutftb8ebW0b-9XpSRjV6UHpppu0mkUzdq9O-PSS_3Mcbh46W8jfj5OAYYSXAfkDS1anRw |
| CitedBy_id | crossref_primary_10_1080_00036811_2023_2291813 crossref_primary_10_1080_10236198_2019_1709064 crossref_primary_10_1080_10236198_2022_2082873 crossref_primary_10_1016_j_camwa_2016_01_009 crossref_primary_10_1142_S179352451750070X crossref_primary_10_1080_10236198_2015_1056524 crossref_primary_10_3390_computation7020021 crossref_primary_10_1016_j_aej_2025_01_029 crossref_primary_10_1155_2013_712829 crossref_primary_10_53391_mmnsa_1517325 crossref_primary_10_1016_j_jviromet_2019_01_014 crossref_primary_10_1155_2017_7805675 crossref_primary_10_1016_j_chaos_2020_110647 crossref_primary_10_1111_sapm_12518 crossref_primary_10_1007_s40314_017_0543_9 crossref_primary_10_1007_s40819_018_0552_4 crossref_primary_10_1186_s13662_019_2448_y crossref_primary_10_3390_mca22010007 crossref_primary_10_1142_S1793524517500620 crossref_primary_10_26637_mjm1002_004 crossref_primary_10_1016_j_camwa_2013_08_023 crossref_primary_10_1016_j_camwa_2018_09_032 crossref_primary_10_1186_s13662_017_1332_x crossref_primary_10_3934_mbe_2017044 crossref_primary_10_1016_j_matcom_2021_10_021 crossref_primary_10_11948_2017057 |
| Cites_doi | 10.1016/j.jtbi.2007.11.007 10.1126/science.272.5258.74 10.1016/j.mbs.2007.05.004 10.1016/j.amc.2006.12.044 10.1007/s002850100109 10.3934/mbe.2004.1.57 10.1016/0362-546X(84)90011-7 10.7326/0003-4819-101-5-613 10.1016/S0140-6736(81)90585-7 10.1016/S0252-9602(06)60029-5 10.1016/0002-9343(94)90190-2 10.1073/pnas.93.9.4398 10.4049/jimmunol.145.10.3442 10.1128/MMBR.64.1.51-68.2000 10.1016/S1468-1218(03)00018-X 10.1016/j.jtbi.2009.01.001 10.1038/373117a0 |
| ClassificationCodes | S858.28 |
| ContentType | Journal Article |
| Copyright | 2011 Wuhan Institute of Physics and Mathematics Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
| Copyright_xml | – notice: 2011 Wuhan Institute of Physics and Mathematics – notice: Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
| DBID | 2RA 92L CQIGP ~WA AAYXX CITATION 7U9 H94 2B. 4A8 92I 93N PSX TCJ |
| DOI | 10.1016/S0252-9602(11)60374-3 |
| DatabaseName | 维普期刊资源整合服务平台 中文科技期刊数据库-CALIS站点 维普中文期刊数据库 中文科技期刊数据库- 镜像站点 CrossRef Virology and AIDS Abstracts AIDS and Cancer Research Abstracts Wanfang Data Journals - Hong Kong WANFANG Data Centre Wanfang Data Journals 万方数据期刊 - 香港版 China Online Journals (COJ) China Online Journals (COJ) |
| DatabaseTitle | CrossRef AIDS and Cancer Research Abstracts Virology and AIDS Abstracts |
| DatabaseTitleList | AIDS and Cancer Research Abstracts |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Applied Sciences Mathematics Physics |
| DocumentTitleAlternate | GLOBAL ASYMPTOTICAL PROPERTIES FOR A DIFFUSED HBV INFECTION MODEL WITH CTL IMMUNE RESPONSE AND NONLINEAR INCIDENCE |
| EISSN | 1572-9087 |
| EndPage | 1967 |
| ExternalDocumentID | sxwlxb_e201105024 10_1016_S0252_9602_11_60374_3 S0252960211603743 39621279 |
| GrantInformation_xml | – fundername: National Natural Science Foundation of China grantid: 10971166, 10901131 – fundername: National High Technology Research and Development Program of China grantid: 863 Program, 2009AA01A135 – fundername: Natural Science Foundation of Xinjiang Province grantid: 2010211B04 – fundername: the National Natural Science Foundation of China(10971166; 10901131); the National High Technology Research and Development Program of China (863 Program; the Natural Science Foundation of Xinjiang Province funderid: the National Natural Science Foundation of China(10971166; 10901131); (2009AA01A135); (2010211B04) |
| GroupedDBID | --K --M -01 -0A -EM -SA -S~ .~1 0R~ 1B1 1~. 1~5 23M 2B. 2C. 2RA 4.4 406 457 4G. 5GY 5VR 5VS 5XA 5XB 5XL 7-5 71M 8P~ 92E 92I 92L 92M 92Q 93N 9D9 9DA AACTN AAEDT AAEDW AAFGU AAHNG AAIKJ AAKOC AALRI AAOAW AAQFI AATNV AAUYE AAXUO AAYFA ABAOU ABECU ABFGW ABFNM ABFTV ABKAS ABKCH ABMAC ABMQK ABTEG ABTKH ABTMW ABXDB ABXPI ABYKQ ACAOD ACAZW ACBMV ACBRV ACBYP ACDAQ ACGFS ACHSB ACIGE ACIPQ ACMLO ACOKC ACRLP ACTTH ACVWB ACWMK ACZOJ ADBBV ADEZE ADKNI ADMDM ADMUD ADOXG ADTPH ADURQ ADYFF AEBSH AEFTE AEJRE AEKER AENEX AESKC AESTI AEVTX AFKWA AFNRJ AFQWF AFUIB AGDGC AGGBP AGHFR AGJBK AGMZJ AGUBO AGYEJ AIAKS AIEXJ AIGVJ AIKHN AILAN AIMYW AITGF AITUG AJBFU AJDOV AJOXV AJZVZ AKQUC ALMA_UNASSIGNED_HOLDINGS AMFUW AMKLP AMRAJ AMXSW AMYLF ARUGR AXJTR AXYYD BGNMA BKOJK BLXMC CAJEA CAJUS CCEZO CCVFK CHBEP CQIGP CS3 CSCUP CW9 DPUIP EBLON EBS EFJIC EFLBG EJD EO9 EP2 EP3 FA0 FDB FEDTE FIRID FNLPD FNPLU FYGXN GBLVA GJIRD HVGLF HZ~ IKXTQ IWAJR J1W JUIAU JZLTJ KOM KOV LLZTM M41 M4Y MHUIS MO0 N9A NPVJJ NQJWS NU0 O-L O9- OAUVE OZT P-8 P-9 P2P PC. PT4 Q-- Q-0 Q38 R-A REI RIG ROL RSV RT1 S.. SDC SDF SDG SDH SES SNE SNPRN SOHCF SOJ SPC SRMVM SSLCW SSW SSZ T5K T8Q TCJ TGP TSG U1F U1G U5A U5K UOJIU UTJUX VEKWB VFIZW ZMTXR ~G- ~L9 ~WA AGQEE FIGPU AACDK AAJBT AASML AATTM AAXKI AAYWO AAYXX ABAKF ABBRH ABDBE ABFSG ABJNI ABRTQ ABWVN ACDTI ACLOT ACPIV ACRPL ACSTC ACVFH ADCNI ADNMO AEFQL AEIPS AEMSY AEUPX AEZWR AFBBN AFDZB AFHIU AFOHR AFPUW AHPBZ AHWEU AIGII AIGIU AIIUN AIXLP AKBMS AKRWK AKYEP ANKPU ATHPR AYFIA CITATION EFKBS HG6 SJYHP ~HD 7U9 H94 4A8 AFXIZ AGCQF AGRNS PSX SSH |
| ID | FETCH-LOGICAL-c402t-3c3a8f0941bc56cade9c69155b38ede053fb1f2f69811adcea556583e39c44b13 |
| IEDL.DBID | .~1 |
| ISSN | 0252-9602 |
| IngestDate | Thu May 29 04:00:08 EDT 2025 Mon Sep 29 06:41:07 EDT 2025 Wed Oct 01 03:09:08 EDT 2025 Thu Apr 24 22:51:55 EDT 2025 Fri Feb 23 02:25:03 EST 2024 Wed Feb 14 10:48:30 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 5 |
| Keywords | global asymptotical stability diffusion CTL immune response 34D23 92D25 HBV infection nonlinear incidence |
| Language | English |
| License | https://www.elsevier.com/tdm/userlicense/1.0 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c402t-3c3a8f0941bc56cade9c69155b38ede053fb1f2f69811adcea556583e39c44b13 |
| Notes | 42-1227/O This article proposes a diffused hepatitis B virus （HBV） model with CTL immune response and nonlinear incidence for the control of viral infections. By means of different Lyapunov functions, the global asymptotical properties of the viral-free equilibrium and immune-free equilibrium of the model are obtained. Global stability of the positive equilibrium of the model is also considered. The results show that the free diffusion of the virus has no effect on the global stability of such HBV infection problem with Neumann homogeneous boundary conditions. Wang Shaoli 1 Feng Xinlong 2 He Yinnian 1,2 1. Faculty of Science, Xi’an Jiaotong University, Xi’an 710049, China 2. College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China HBV infection; diffusion; CTL immune response; nonlinear incidence; global asymptotical stability ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| PQID | 1014098256 |
| PQPubID | 23462 |
| PageCount | 9 |
| ParticipantIDs | wanfang_journals_sxwlxb_e201105024 proquest_miscellaneous_1014098256 crossref_primary_10_1016_S0252_9602_11_60374_3 crossref_citationtrail_10_1016_S0252_9602_11_60374_3 elsevier_sciencedirect_doi_10_1016_S0252_9602_11_60374_3 chongqing_primary_39621279 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2011-09-01 |
| PublicationDateYYYYMMDD | 2011-09-01 |
| PublicationDate_xml | – month: 09 year: 2011 text: 2011-09-01 day: 01 |
| PublicationDecade | 2010 |
| PublicationTitle | Acta mathematica scientia |
| PublicationTitleAlternate | Acta Mathematica Scientia |
| PublicationTitle_FL | Acta Mathematica Scientia |
| PublicationYear | 2011 |
| Publisher | Elsevier Ltd College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China%College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China%Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China |
| Publisher_xml | – name: Elsevier Ltd – name: College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China – name: Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China%College of Mathematics and Systems Science, Xinjiang University, Urumqi 830046, China%Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China |
| References | Seeger, Mason (bib10) 2007; 64 Li, Ma, Zhou (bib17) 2006; 26B Wei, Ghosh (bib1) 1995; 373 Wang, Wang (bib8) 2007; 210 Ferrari, Penna (bib5) 1990; 145 Korobeinikov, Maini (bib15) 2004; 1 Beasley, Hwang (bib3) 1981; 2 Wang, Song (bib13) 2007; 189 Pao (bib16) 2004; 5 Nowak, Bonhoeffer (bib2) 1996; 93 Wang, Wang, Song (bib11) 2008; 253 Gourley, So (bib9) 2002; 44 Redlinger (bib14) 1984; 8 Jin, Ma, Han (bib18) 2006; 26B Regenstein (bib6) 1994; 96 Nowak, Bangham (bib7) 1996; 272 Xu, Ma (bib12) 2009; 257 Weissberg, Andres (bib4) 1984; 101 Li (10.1016/S0252-9602(11)60374-3_bib17) 2006; 26B Jin (10.1016/S0252-9602(11)60374-3_bib18) 2006; 26B Redlinger (10.1016/S0252-9602(11)60374-3_bib14) 1984; 8 Seeger (10.1016/S0252-9602(11)60374-3_bib10) 2007; 64 Nowak (10.1016/S0252-9602(11)60374-3_bib2) 1996; 93 Regenstein (10.1016/S0252-9602(11)60374-3_bib6) 1994; 96 Wang (10.1016/S0252-9602(11)60374-3_bib13) 2007; 189 Beasley (10.1016/S0252-9602(11)60374-3_bib3) 1981; 2 Korobeinikov (10.1016/S0252-9602(11)60374-3_bib15) 2004; 1 Gourley (10.1016/S0252-9602(11)60374-3_bib9) 2002; 44 Nowak (10.1016/S0252-9602(11)60374-3_bib7) 1996; 272 Ferrari (10.1016/S0252-9602(11)60374-3_bib5) 1990; 145 Wang (10.1016/S0252-9602(11)60374-3_bib8) 2007; 210 Wei (10.1016/S0252-9602(11)60374-3_bib1) 1995; 373 Weissberg (10.1016/S0252-9602(11)60374-3_bib4) 1984; 101 Wang (10.1016/S0252-9602(11)60374-3_bib11) 2008; 253 Pao (10.1016/S0252-9602(11)60374-3_bib16) 2004; 5 Xu (10.1016/S0252-9602(11)60374-3_bib12) 2009; 257 |
| References_xml | – volume: 64 start-page: 51 year: 2007 end-page: 68 ident: bib10 article-title: Hepatitis B virus biology publication-title: Microbiol Mol Biol Rev – volume: 257 start-page: 499 year: 2009 end-page: 509 ident: bib12 article-title: An HBV model with diffusion and time delay publication-title: J Theor Biol – volume: 253 start-page: 36 year: 2008 end-page: 44 ident: bib11 article-title: Dynamics of an HBV model with diffusion and delay publication-title: J Theor Biol – volume: 26B start-page: 291 year: 2006 end-page: 306 ident: bib18 article-title: Global stability of an SIRS epidemic model with delays publication-title: Acta Mathematica Scientia – volume: 5 start-page: 91 year: 2004 end-page: 104 ident: bib16 article-title: Global asymptotic stability of Lotka-Volterra competition systems with diffusion and time delays publication-title: Nonlinear Anal Real World Appl – volume: 2 start-page: 1129 year: 1981 end-page: 1133 ident: bib3 article-title: Hepatocellular carcinoma and hepatitis B virus publication-title: Lancet – volume: 101 start-page: 613 year: 1984 end-page: 616 ident: bib4 article-title: Survival in chronic hepatitis B: an analysis of 379 patients publication-title: Ann Intern Med – volume: 1 start-page: 57 year: 2004 end-page: 60 ident: bib15 article-title: A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence publication-title: Math Biosci Eng – volume: 44 start-page: 49 year: 2002 end-page: 78 ident: bib9 article-title: Dynamics of a food-limited population model incorporating nonlocal delays on a finite domain publication-title: J Math Biol – volume: 93 start-page: 4398 year: 1996 end-page: 4402 ident: bib2 article-title: Viral dynamics in hepatitis B virus infection publication-title: Proc Natl Acad Sci USA – volume: 210 start-page: 78 year: 2007 end-page: 95 ident: bib8 article-title: Propagation of HBV with spatial dependence publication-title: Math Biosci – volume: 189 start-page: 1331 year: 2007 end-page: 1340 ident: bib13 article-title: Global stability and periodic solution of a model for HIV infection of publication-title: Appl Math Comput – volume: 96 start-page: 47 year: 1994 end-page: 51 ident: bib6 article-title: New approaches to the treatment of chronic viral-hepatitis-B and viral-hepatitis C publication-title: Am J Med – volume: 272 start-page: 74 year: 1996 end-page: 79 ident: bib7 article-title: Population dynamics of immune response to persistent viruses publication-title: Science – volume: 373 start-page: 117 year: 1995 end-page: 122 ident: bib1 article-title: Viral dynamics in human immunodeficiency virus type 1 infection publication-title: Nature – volume: 8 start-page: 667 year: 1984 end-page: 682 ident: bib14 article-title: Existence theorem for semilinear parabolic systems with functionals publication-title: Nonlinear Anal – volume: 26B start-page: 83 year: 2006 end-page: 93 ident: bib17 article-title: Global analysis of SIS epidemic model with a simple vaccination and multiple endemic equilibria publication-title: Acta Mathematica Scientia – volume: 145 start-page: 3442 year: 1990 end-page: 3449 ident: bib5 article-title: Cellular immune response to hepatitis B virus encoded antigens in a cute and chronic hepatitis B virus infection publication-title: J Immunol – volume: 253 start-page: 36 year: 2008 ident: 10.1016/S0252-9602(11)60374-3_bib11 article-title: Dynamics of an HBV model with diffusion and delay publication-title: J Theor Biol doi: 10.1016/j.jtbi.2007.11.007 – volume: 272 start-page: 74 year: 1996 ident: 10.1016/S0252-9602(11)60374-3_bib7 article-title: Population dynamics of immune response to persistent viruses publication-title: Science doi: 10.1126/science.272.5258.74 – volume: 210 start-page: 78 year: 2007 ident: 10.1016/S0252-9602(11)60374-3_bib8 article-title: Propagation of HBV with spatial dependence publication-title: Math Biosci doi: 10.1016/j.mbs.2007.05.004 – volume: 189 start-page: 1331 year: 2007 ident: 10.1016/S0252-9602(11)60374-3_bib13 article-title: Global stability and periodic solution of a model for HIV infection of CD4+ T cells publication-title: Appl Math Comput doi: 10.1016/j.amc.2006.12.044 – volume: 44 start-page: 49 year: 2002 ident: 10.1016/S0252-9602(11)60374-3_bib9 article-title: Dynamics of a food-limited population model incorporating nonlocal delays on a finite domain publication-title: J Math Biol doi: 10.1007/s002850100109 – volume: 1 start-page: 57 year: 2004 ident: 10.1016/S0252-9602(11)60374-3_bib15 article-title: A Lyapunov function and global properties for SIR and SEIR epidemiological models with nonlinear incidence publication-title: Math Biosci Eng doi: 10.3934/mbe.2004.1.57 – volume: 8 start-page: 667 year: 1984 ident: 10.1016/S0252-9602(11)60374-3_bib14 article-title: Existence theorem for semilinear parabolic systems with functionals publication-title: Nonlinear Anal doi: 10.1016/0362-546X(84)90011-7 – volume: 101 start-page: 613 year: 1984 ident: 10.1016/S0252-9602(11)60374-3_bib4 article-title: Survival in chronic hepatitis B: an analysis of 379 patients publication-title: Ann Intern Med doi: 10.7326/0003-4819-101-5-613 – volume: 2 start-page: 1129 year: 1981 ident: 10.1016/S0252-9602(11)60374-3_bib3 article-title: Hepatocellular carcinoma and hepatitis B virus publication-title: Lancet doi: 10.1016/S0140-6736(81)90585-7 – volume: 26B start-page: 83 issue: 1 year: 2006 ident: 10.1016/S0252-9602(11)60374-3_bib17 article-title: Global analysis of SIS epidemic model with a simple vaccination and multiple endemic equilibria publication-title: Acta Mathematica Scientia doi: 10.1016/S0252-9602(06)60029-5 – volume: 96 start-page: 47 year: 1994 ident: 10.1016/S0252-9602(11)60374-3_bib6 article-title: New approaches to the treatment of chronic viral-hepatitis-B and viral-hepatitis C publication-title: Am J Med doi: 10.1016/0002-9343(94)90190-2 – volume: 93 start-page: 4398 year: 1996 ident: 10.1016/S0252-9602(11)60374-3_bib2 article-title: Viral dynamics in hepatitis B virus infection publication-title: Proc Natl Acad Sci USA doi: 10.1073/pnas.93.9.4398 – volume: 145 start-page: 3442 year: 1990 ident: 10.1016/S0252-9602(11)60374-3_bib5 article-title: Cellular immune response to hepatitis B virus encoded antigens in a cute and chronic hepatitis B virus infection publication-title: J Immunol doi: 10.4049/jimmunol.145.10.3442 – volume: 64 start-page: 51 year: 2007 ident: 10.1016/S0252-9602(11)60374-3_bib10 article-title: Hepatitis B virus biology publication-title: Microbiol Mol Biol Rev doi: 10.1128/MMBR.64.1.51-68.2000 – volume: 5 start-page: 91 year: 2004 ident: 10.1016/S0252-9602(11)60374-3_bib16 article-title: Global asymptotic stability of Lotka-Volterra competition systems with diffusion and time delays publication-title: Nonlinear Anal Real World Appl doi: 10.1016/S1468-1218(03)00018-X – volume: 257 start-page: 499 year: 2009 ident: 10.1016/S0252-9602(11)60374-3_bib12 article-title: An HBV model with diffusion and time delay publication-title: J Theor Biol doi: 10.1016/j.jtbi.2009.01.001 – volume: 26B start-page: 291 issue: 2 year: 2006 ident: 10.1016/S0252-9602(11)60374-3_bib18 article-title: Global stability of an SIRS epidemic model with delays publication-title: Acta Mathematica Scientia – volume: 373 start-page: 117 year: 1995 ident: 10.1016/S0252-9602(11)60374-3_bib1 article-title: Viral dynamics in human immunodeficiency virus type 1 infection publication-title: Nature doi: 10.1038/373117a0 |
| SSID | ssj0016264 |
| Score | 1.9960322 |
| Snippet | This article proposes a diffused hepatitis B virus （HBV） model with CTL immune response and nonlinear incidence for the control of viral infections. By means... This article proposes a diffused hepatitis B virus (HBV) model with CTL immune response and nonlinear incidence for the control of viral infections. By means... S858.28; This article proposes a diffused hepatitis B virus (HBV) model with CTLimmune response and nonlinear incidence for the control of viral infections.By... |
| SourceID | wanfang proquest crossref elsevier chongqing |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 1959 |
| SubjectTerms | 34D23 92D25 Boundaries CTL CTL immune response diffusion global asymptotical stability HBV HBV infection Hepatitis B virus nonlinear incidence 免疫反应 平衡模型 扩散 渐近性质 病毒感染 非线性 |
| Title | GLOBAL ASYMPTOTICAL PROPERTIES FOR A DIFFUSED HBV INFECTION MODEL WITH CTL IMMUNE RESPONSE AND NONLINEAR INCIDENCE |
| URI | http://lib.cqvip.com/qk/86464X/201105/39621279.html https://dx.doi.org/10.1016/S0252-9602(11)60374-3 https://www.proquest.com/docview/1014098256 https://d.wanfangdata.com.cn/periodical/sxwlxb-e201105024 |
| Volume | 31 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| journalDatabaseRights | – providerCode: PRVESC databaseName: Baden-Württemberg Complete Freedom Collection (Elsevier) customDbUrl: eissn: 1572-9087 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0016264 issn: 0252-9602 databaseCode: GBLVA dateStart: 20110101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVESC databaseName: Elsevier SD Complete Freedom Collection [SCCMFC] customDbUrl: eissn: 1572-9087 dateEnd: 20181130 omitProxy: true ssIdentifier: ssj0016264 issn: 0252-9602 databaseCode: ACRLP dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection customDbUrl: eissn: 1572-9087 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0016264 issn: 0252-9602 databaseCode: .~1 dateStart: 20060101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals [SCFCJ] customDbUrl: eissn: 1572-9087 dateEnd: 20181130 omitProxy: true ssIdentifier: ssj0016264 issn: 0252-9602 databaseCode: AIKHN dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier – providerCode: PRVLSH databaseName: Elsevier Journals customDbUrl: mediaType: online eissn: 1572-9087 dateEnd: 99991231 omitProxy: true ssIdentifier: ssj0016264 issn: 0252-9602 databaseCode: AKRWK dateStart: 19950101 isFulltext: true providerName: Library Specific Holdings |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1Nb9QwEB1VRZXgALSAugUqgzi0h3Tr2OtNjmVFtQXaSz_Um2U7TrtSyS7Jrlou_HZmHGdbDqgSx1geJ_LYnjeT8RuAT2ZoS-EVIjfvVCKLYj_JpR8mHm0jT8uhS0PNyOMTNT6XXy8Hlysw6u7CUFplPPvbMz2c1rGlH2ezP5tM-qdorVPE3-jBKCJRIcZPYv_CNb33e5nmwRGwBwop7JxQ7_tbPO0IoXGH890wSCKIY-F6Wl39RMvxL1v1AIuu3ZqqNNXVA6N0-BKeRzTJDtoPXocVX23Ai4gsWdy3zQY8O16ys-LTWkj7dM0rqFvKf2aaXz9m82mIa7MZxedrIlpliGiZYVREZdHggOPPF6zL3qpYKKLDKJDLRmff2YRumnhWt0m3npmqYFVLxGFqRiH9UL70NZwffjkbjZNYhSFx6FvOE-GEyUr0Arl1A0VJ-7lTxCpvReYLqixRWl6mpcozzk3hvBkgSMyEF7mT0nLxBlbxbX4TmLHG5whQMpUraWVpeGqGCLGKTBaZs74HW8u517OWbUOLXBELfd4D2SlDu8hfTmU0bvR9ohrqU5M-0a_RQZ9a9GBvKdYN-YhA1mla_7USNRqZx0Q_dCtD4y6lXy-m8tNFQzLoSKM3rnrwMS4ZHU-LRjd3tzd3VvsAxgaImrb-_xvewtM27E1pcO9gdV4v_HvETXO7HTbGNjw5OPo2PvkDQK0RMg |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3db9MwED-NThPjgY8BouPLIB7gISuOHTd5HBVTxtq-0KG9WbbjjEpbWpJWG_89Z8fpxgOaxGOinBPl7Lvfnc-_A_ighrpkViBys0ZEvCg-Rxm3w8iib6RxOTSx7xk5mYr8lH87S862YNSdhXFllcH2tzbdW-twZxD-5mA5nw--o7eOEX9jBCMciQq7B9s8QZvcg-3D45N8utlMQMzuWaTw-cgJ3BzkaQfxNz9S-smPEzFHs_BzUZ3_QufxL3d1C47uXKmqVNX5Lb909BgeBkBJDttvfgJbttqDRwFckrB0mz14MNkQtOLVjq_8NM1TqFvWf6Ka35fL1cKntsnSpehrx7VKENQSRVwflXWDA-ZffpCugKsivo8OcblcMpqNydwdNrGkbutuLVFVQaqWi0PVxGX1fQfTZ3B69HU2yqPQiCEyGF6uImaYSksMBKk2iXB1-5kRjlhes9QWrrlEqWkZlyJLKVWFsSpBnJgyyzLDuabsOfTwbfYFEKWVzRCjpCITXPNS0VgNEWUVKS9So20f9jf_Xi5bwg3JMuGI6LM-8E4Z0gQKc9dJ40Le1KqhPqXTJ4Y20utTsj4cbMS6Ie8QSDtNy78mo0Q_c5fou25mSFyobvdFVXaxbpwMxtIYkIs-vA9TRgaD0cjm-uriWkvr8ViCwGn__7_hLdzPZ5OxHB9PT17CbpsFd1Vxr6C3qtf2NcKolX4Tlskfi1QT3Q |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Global+asymptotical+properties+for+a+diffused+HBV+infection+model+with+CTL+immune+response+and+nonlinear+incidence&rft.jtitle=Acta+mathematica+scientia&rft.au=Shaoli%2C+Wang&rft.au=Xinlong%2C+Feng&rft.au=Yinnian%2C+He&rft.date=2011-09-01&rft.issn=0252-9602&rft.volume=31&rft.issue=5&rft.spage=1959&rft.epage=1967&rft_id=info:doi/10.1016%2FS0252-9602%2811%2960374-3&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_S0252_9602_11_60374_3 |
| thumbnail_s | http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fimage.cqvip.com%2Fvip1000%2Fqk%2F86464X%2F86464X.jpg http://utb.summon.serialssolutions.com/2.0.0/image/custom?url=http%3A%2F%2Fwww.wanfangdata.com.cn%2Fimages%2FPeriodicalImages%2Fsxwlxb-e%2Fsxwlxb-e.jpg |